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Finding the Fourth Proportional to 517,854.08, 714,445.20 and 517,055.74

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Solution

The fourth proportional to 517,854.08, 714,445.20 and 517,055.74 is: 713,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,854.08 : 714,445.20 = 517,055.74 : x
  2. Step 2: Convert to fraction form
    517,854.08/714,445.20 = 517,055.74/x
  3. Step 3: Cross multiply
    517,854.08x = 714,445.20 × 517,055.74
  4. Step 4: Simplify right side
    517,854.08x = 369,407,989,789.34
  5. Step 5: Solve for x
    x = 369,407,989,789.34/517,854.08
  6. Step 6: Final answer
    x = 713,343.78

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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.