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Finding the Fourth Proportional to 517,974.30, 714,640.02 and 291,576.06

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Solution

The fourth proportional to 517,974.30, 714,640.02 and 291,576.06 is: 402,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,974.30 : 714,640.02 = 291,576.06 : x
  2. Step 2: Convert to fraction form
    517,974.30/714,640.02 = 291,576.06/x
  3. Step 3: Cross multiply
    517,974.30x = 714,640.02 × 291,576.06
  4. Step 4: Simplify right side
    517,974.30x = 208,371,921,349.92
  5. Step 5: Solve for x
    x = 208,371,921,349.92/517,974.30
  6. Step 6: Final answer
    x = 402,282.36

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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.