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Finding the Fourth Proportional to 518,648.52, 715,734.36 and 280,184.52

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Solution

The fourth proportional to 518,648.52, 715,734.36 and 280,184.52 is: 386,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,648.52 : 715,734.36 = 280,184.52 : x
  2. Step 2: Convert to fraction form
    518,648.52/715,734.36 = 280,184.52/x
  3. Step 3: Cross multiply
    518,648.52x = 715,734.36 × 280,184.52
  4. Step 4: Simplify right side
    518,648.52x = 200,537,688,104.11
  5. Step 5: Solve for x
    x = 200,537,688,104.11/518,648.52
  6. Step 6: Final answer
    x = 386,654.31

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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.