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Finding the Fourth Proportional to 458,378.66, 632,532.65 and 254,419.85

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Solution

The fourth proportional to 458,378.66, 632,532.65 and 254,419.85 is: 351,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,378.66 : 632,532.65 = 254,419.85 : x
  2. Step 2: Convert to fraction form
    458,378.66/632,532.65 = 254,419.85/x
  3. Step 3: Cross multiply
    458,378.66x = 632,532.65 × 254,419.85
  4. Step 4: Simplify right side
    458,378.66x = 160,928,862,242.34
  5. Step 5: Solve for x
    x = 160,928,862,242.34/458,378.66
  6. Step 6: Final answer
    x = 351,082.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.