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Finding the Fourth Proportional to 438,648.32, 657,976.32 and 106,224.64

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Solution

The fourth proportional to 438,648.32, 657,976.32 and 106,224.64 is: 159,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,648.32 : 657,976.32 = 106,224.64 : x
  2. Step 2: Convert to fraction form
    438,648.32/657,976.32 = 106,224.64/x
  3. Step 3: Cross multiply
    438,648.32x = 657,976.32 × 106,224.64
  4. Step 4: Simplify right side
    438,648.32x = 69,893,297,720.52
  5. Step 5: Solve for x
    x = 69,893,297,720.52/438,648.32
  6. Step 6: Final answer
    x = 159,337.89

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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.