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Finding the Fourth Proportional to 438,424.70, 657,809.85 and 172,139.90

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Solution

The fourth proportional to 438,424.70, 657,809.85 and 172,139.90 is: 258,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,424.70 : 657,809.85 = 172,139.90 : x
  2. Step 2: Convert to fraction form
    438,424.70/657,809.85 = 172,139.90/x
  3. Step 3: Cross multiply
    438,424.70x = 657,809.85 × 172,139.90
  4. Step 4: Simplify right side
    438,424.70x = 113,235,321,798.02
  5. Step 5: Solve for x
    x = 113,235,321,798.02/438,424.70
  6. Step 6: Final answer
    x = 258,277.70

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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.