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Finding the Fourth Proportional to 520,232.40, 780,494.40 and 254,001.60

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Solution

The fourth proportional to 520,232.40, 780,494.40 and 254,001.60 is: 381,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,232.40 : 780,494.40 = 254,001.60 : x
  2. Step 2: Convert to fraction form
    520,232.40/780,494.40 = 254,001.60/x
  3. Step 3: Cross multiply
    520,232.40x = 780,494.40 × 254,001.60
  4. Step 4: Simplify right side
    520,232.40x = 198,246,826,391.04
  5. Step 5: Solve for x
    x = 198,246,826,391.04/520,232.40
  6. Step 6: Final answer
    x = 381,073.59

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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.