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Finding the Fourth Proportional to 417,426.88, 626,242.22 and 133,117.43

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Solution

The fourth proportional to 417,426.88, 626,242.22 and 133,117.43 is: 199,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,426.88 : 626,242.22 = 133,117.43 : x
  2. Step 2: Convert to fraction form
    417,426.88/626,242.22 = 133,117.43/x
  3. Step 3: Cross multiply
    417,426.88x = 626,242.22 × 133,117.43
  4. Step 4: Simplify right side
    417,426.88x = 83,363,754,883.89
  5. Step 5: Solve for x
    x = 83,363,754,883.89/417,426.88
  6. Step 6: Final answer
    x = 199,708.64

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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.