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Finding the Fourth Proportional to 438,017.76, 656,744.14 and 171,805.18

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Solution

The fourth proportional to 438,017.76, 656,744.14 and 171,805.18 is: 257,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,017.76 : 656,744.14 = 171,805.18 : x
  2. Step 2: Convert to fraction form
    438,017.76/656,744.14 = 171,805.18/x
  3. Step 3: Cross multiply
    438,017.76x = 656,744.14 × 171,805.18
  4. Step 4: Simplify right side
    438,017.76x = 112,832,045,186.65
  5. Step 5: Solve for x
    x = 112,832,045,186.65/438,017.76
  6. Step 6: Final answer
    x = 257,596.96

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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.