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Finding the Fourth Proportional to 438,710.56, 658,336.56 and 172,424.32

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Solution

The fourth proportional to 438,710.56, 658,336.56 and 172,424.32 is: 258,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,710.56 : 658,336.56 = 172,424.32 : x
  2. Step 2: Convert to fraction form
    438,710.56/658,336.56 = 172,424.32/x
  3. Step 3: Cross multiply
    438,710.56x = 658,336.56 × 172,424.32
  4. Step 4: Simplify right side
    438,710.56x = 113,513,233,689.14
  5. Step 5: Solve for x
    x = 113,513,233,689.14/438,710.56
  6. Step 6: Final answer
    x = 258,742.88

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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.