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Finding the Fourth Proportional to 587,861.92, 812,068.40 and 566,014.24

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Solution

The fourth proportional to 587,861.92, 812,068.40 and 566,014.24 is: 781,888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,861.92 : 812,068.40 = 566,014.24 : x
  2. Step 2: Convert to fraction form
    587,861.92/812,068.40 = 566,014.24/x
  3. Step 3: Cross multiply
    587,861.92x = 812,068.40 × 566,014.24
  4. Step 4: Simplify right side
    587,861.92x = 459,642,278,254.02
  5. Step 5: Solve for x
    x = 459,642,278,254.02/587,861.92
  6. Step 6: Final answer
    x = 781,888.17

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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.