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Finding the Fourth Proportional to 334,920.80, 502,964.40 and 177,456.80

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Solution

The fourth proportional to 334,920.80, 502,964.40 and 177,456.80 is: 266,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,920.80 : 502,964.40 = 177,456.80 : x
  2. Step 2: Convert to fraction form
    334,920.80/502,964.40 = 177,456.80/x
  3. Step 3: Cross multiply
    334,920.80x = 502,964.40 × 177,456.80
  4. Step 4: Simplify right side
    334,920.80x = 89,254,452,937.92
  5. Step 5: Solve for x
    x = 89,254,452,937.92/334,920.80
  6. Step 6: Final answer
    x = 266,494.21

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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.