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Finding the Fourth Proportional to 501,452.13, 752,288.91 and 185,909.07

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Solution

The fourth proportional to 501,452.13, 752,288.91 and 185,909.07 is: 278,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,452.13 : 752,288.91 = 185,909.07 : x
  2. Step 2: Convert to fraction form
    501,452.13/752,288.91 = 185,909.07/x
  3. Step 3: Cross multiply
    501,452.13x = 752,288.91 × 185,909.07
  4. Step 4: Simplify right side
    501,452.13x = 139,857,331,629.41
  5. Step 5: Solve for x
    x = 139,857,331,629.41/501,452.13
  6. Step 6: Final answer
    x = 278,904.65

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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.