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Finding the Fourth Proportional to 510,459.10, 764,350.92 and 359,884.14

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Solution

The fourth proportional to 510,459.10, 764,350.92 and 359,884.14 is: 538,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,459.10 : 764,350.92 = 359,884.14 : x
  2. Step 2: Convert to fraction form
    510,459.10/764,350.92 = 359,884.14/x
  3. Step 3: Cross multiply
    510,459.10x = 764,350.92 × 359,884.14
  4. Step 4: Simplify right side
    510,459.10x = 275,077,773,502.41
  5. Step 5: Solve for x
    x = 275,077,773,502.41/510,459.10
  6. Step 6: Final answer
    x = 538,883.08

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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.