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Finding the Fourth Proportional to 482,135.61, 723,210.54 and 182,535.78

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Solution

The fourth proportional to 482,135.61, 723,210.54 and 182,535.78 is: 273,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,135.61 : 723,210.54 = 182,535.78 : x
  2. Step 2: Convert to fraction form
    482,135.61/723,210.54 = 182,535.78/x
  3. Step 3: Cross multiply
    482,135.61x = 723,210.54 × 182,535.78
  4. Step 4: Simplify right side
    482,135.61x = 132,011,800,023.12
  5. Step 5: Solve for x
    x = 132,011,800,023.12/482,135.61
  6. Step 6: Final answer
    x = 273,806.37

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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.