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Finding the Fourth Proportional to 509,303.34, 763,955.15 and 189,413.41

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Solution

The fourth proportional to 509,303.34, 763,955.15 and 189,413.41 is: 284,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,303.34 : 763,955.15 = 189,413.41 : x
  2. Step 2: Convert to fraction form
    509,303.34/763,955.15 = 189,413.41/x
  3. Step 3: Cross multiply
    509,303.34x = 763,955.15 × 189,413.41
  4. Step 4: Simplify right side
    509,303.34x = 144,703,349,575.03
  5. Step 5: Solve for x
    x = 144,703,349,575.03/509,303.34
  6. Step 6: Final answer
    x = 284,120.17

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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.