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Finding the Fourth Proportional to 417,724.80, 626,587.20 and 207,772.80

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Solution

The fourth proportional to 417,724.80, 626,587.20 and 207,772.80 is: 311,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,724.80 : 626,587.20 = 207,772.80 : x
  2. Step 2: Convert to fraction form
    417,724.80/626,587.20 = 207,772.80/x
  3. Step 3: Cross multiply
    417,724.80x = 626,587.20 × 207,772.80
  4. Step 4: Simplify right side
    417,724.80x = 130,187,776,988.16
  5. Step 5: Solve for x
    x = 130,187,776,988.16/417,724.80
  6. Step 6: Final answer
    x = 311,659.20

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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.