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Finding the Fourth Proportional to 567,259.91, 782,857.40 and 346,591.68

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Solution

The fourth proportional to 567,259.91, 782,857.40 and 346,591.68 is: 478,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,259.91 : 782,857.40 = 346,591.68 : x
  2. Step 2: Convert to fraction form
    567,259.91/782,857.40 = 346,591.68/x
  3. Step 3: Cross multiply
    567,259.91x = 782,857.40 × 346,591.68
  4. Step 4: Simplify right side
    567,259.91x = 271,331,861,466.43
  5. Step 5: Solve for x
    x = 271,331,861,466.43/567,259.91
  6. Step 6: Final answer
    x = 478,320.18

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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.