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Finding the Fourth Proportional to 509,303.84, 763,955.90 and 189,413.91

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Solution

The fourth proportional to 509,303.84, 763,955.90 and 189,413.91 is: 284,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,303.84 : 763,955.90 = 189,413.91 : x
  2. Step 2: Convert to fraction form
    509,303.84/763,955.90 = 189,413.91/x
  3. Step 3: Cross multiply
    509,303.84x = 763,955.90 × 189,413.91
  4. Step 4: Simplify right side
    509,303.84x = 144,703,874,086.57
  5. Step 5: Solve for x
    x = 144,703,874,086.57/509,303.84
  6. Step 6: Final answer
    x = 284,120.92

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.