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Finding the Fourth Proportional to 517,411.80, 714,020.67 and 291,057.30

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Solution

The fourth proportional to 517,411.80, 714,020.67 and 291,057.30 is: 401,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,411.80 : 714,020.67 = 291,057.30 : x
  2. Step 2: Convert to fraction form
    517,411.80/714,020.67 = 291,057.30/x
  3. Step 3: Cross multiply
    517,411.80x = 714,020.67 × 291,057.30
  4. Step 4: Simplify right side
    517,411.80x = 207,820,928,354.39
  5. Step 5: Solve for x
    x = 207,820,928,354.39/517,411.80
  6. Step 6: Final answer
    x = 401,654.79

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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.