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Finding the Fourth Proportional to 417,732.66, 626,701.05 and 133,423.27

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Solution

The fourth proportional to 417,732.66, 626,701.05 and 133,423.27 is: 200,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,732.66 : 626,701.05 = 133,423.27 : x
  2. Step 2: Convert to fraction form
    417,732.66/626,701.05 = 133,423.27/x
  3. Step 3: Cross multiply
    417,732.66x = 626,701.05 × 133,423.27
  4. Step 4: Simplify right side
    417,732.66x = 83,616,501,836.68
  5. Step 5: Solve for x
    x = 83,616,501,836.68/417,732.66
  6. Step 6: Final answer
    x = 200,167.50

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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.