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Finding the Fourth Proportional to 460,944, 636,102.72 and 259,747.20

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Solution

The fourth proportional to 460,944, 636,102.72 and 259,747.20 is: 358,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,944 : 636,102.72 = 259,747.20 : x
  2. Step 2: Convert to fraction form
    460,944/636,102.72 = 259,747.20/x
  3. Step 3: Cross multiply
    460,944x = 636,102.72 × 259,747.20
  4. Step 4: Simplify right side
    460,944x = 165,225,900,432.38
  5. Step 5: Solve for x
    x = 165,225,900,432.38/460,944
  6. Step 6: Final answer
    x = 358,451.14

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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.