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Finding the Fourth Proportional to 492,053.40, 738,080.10 and 448,507.80

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Solution

The fourth proportional to 492,053.40, 738,080.10 and 448,507.80 is: 672,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,053.40 : 738,080.10 = 448,507.80 : x
  2. Step 2: Convert to fraction form
    492,053.40/738,080.10 = 448,507.80/x
  3. Step 3: Cross multiply
    492,053.40x = 738,080.10 × 448,507.80
  4. Step 4: Simplify right side
    492,053.40x = 331,034,681,874.78
  5. Step 5: Solve for x
    x = 331,034,681,874.78/492,053.40
  6. Step 6: Final answer
    x = 672,761.70

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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.