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Finding the Fourth Proportional to 398,502.54, 597,458.56 and 240,694.10

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Solution

The fourth proportional to 398,502.54, 597,458.56 and 240,694.10 is: 360,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,502.54 : 597,458.56 = 240,694.10 : x
  2. Step 2: Convert to fraction form
    398,502.54/597,458.56 = 240,694.10/x
  3. Step 3: Cross multiply
    398,502.54x = 597,458.56 × 240,694.10
  4. Step 4: Simplify right side
    398,502.54x = 143,804,750,386.50
  5. Step 5: Solve for x
    x = 143,804,750,386.50/398,502.54
  6. Step 6: Final answer
    x = 360,862.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.