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Finding the Fourth Proportional to 517,761.60, 714,509.55 and 291,407.10

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Solution

The fourth proportional to 517,761.60, 714,509.55 and 291,407.10 is: 402,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,761.60 : 714,509.55 = 291,407.10 : x
  2. Step 2: Convert to fraction form
    517,761.60/714,509.55 = 291,407.10/x
  3. Step 3: Cross multiply
    517,761.60x = 714,509.55 × 291,407.10
  4. Step 4: Simplify right side
    517,761.60x = 208,213,155,887.81
  5. Step 5: Solve for x
    x = 208,213,155,887.81/517,761.60
  6. Step 6: Final answer
    x = 402,140.98

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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.