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Finding the Fourth Proportional to 518,318.12, 715,300.80 and 288,875.54

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Solution

The fourth proportional to 518,318.12, 715,300.80 and 288,875.54 is: 398,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,318.12 : 715,300.80 = 288,875.54 : x
  2. Step 2: Convert to fraction form
    518,318.12/715,300.80 = 288,875.54/x
  3. Step 3: Cross multiply
    518,318.12x = 715,300.80 × 288,875.54
  4. Step 4: Simplify right side
    518,318.12x = 206,632,904,862.43
  5. Step 5: Solve for x
    x = 206,632,904,862.43/518,318.12
  6. Step 6: Final answer
    x = 398,660.39

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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.