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Finding the Fourth Proportional to 531,778.40, 733,856.50 and 290,066.16

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Solution

The fourth proportional to 531,778.40, 733,856.50 and 290,066.16 is: 400,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,778.40 : 733,856.50 = 290,066.16 : x
  2. Step 2: Convert to fraction form
    531,778.40/733,856.50 = 290,066.16/x
  3. Step 3: Cross multiply
    531,778.40x = 733,856.50 × 290,066.16
  4. Step 4: Simplify right side
    531,778.40x = 212,866,936,946.04
  5. Step 5: Solve for x
    x = 212,866,936,946.04/531,778.40
  6. Step 6: Final answer
    x = 400,292.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.