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Finding the Fourth Proportional to 398,116.80, 597,175.20 and 293,140.80

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Solution

The fourth proportional to 398,116.80, 597,175.20 and 293,140.80 is: 439,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,116.80 : 597,175.20 = 293,140.80 : x
  2. Step 2: Convert to fraction form
    398,116.80/597,175.20 = 293,140.80/x
  3. Step 3: Cross multiply
    398,116.80x = 597,175.20 × 293,140.80
  4. Step 4: Simplify right side
    398,116.80x = 175,056,415,868.16
  5. Step 5: Solve for x
    x = 175,056,415,868.16/398,116.80
  6. Step 6: Final answer
    x = 439,711.20

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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.