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Finding the Fourth Proportional to 509,065.85, 763,696.98 and 193,498.08

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Solution

The fourth proportional to 509,065.85, 763,696.98 and 193,498.08 is: 290,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,065.85 : 763,696.98 = 193,498.08 : x
  2. Step 2: Convert to fraction form
    509,065.85/763,696.98 = 193,498.08/x
  3. Step 3: Cross multiply
    509,065.85x = 763,696.98 × 193,498.08
  4. Step 4: Simplify right side
    509,065.85x = 147,773,899,331.80
  5. Step 5: Solve for x
    x = 147,773,899,331.80/509,065.85
  6. Step 6: Final answer
    x = 290,284.45

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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.