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Finding the Fourth Proportional to 363,931.44, 546,203.88 and 153,720.24

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Solution

The fourth proportional to 363,931.44, 546,203.88 and 153,720.24 is: 230,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,931.44 : 546,203.88 = 153,720.24 : x
  2. Step 2: Convert to fraction form
    363,931.44/546,203.88 = 153,720.24/x
  3. Step 3: Cross multiply
    363,931.44x = 546,203.88 × 153,720.24
  4. Step 4: Simplify right side
    363,931.44x = 83,962,591,522.53
  5. Step 5: Solve for x
    x = 83,962,591,522.53/363,931.44
  6. Step 6: Final answer
    x = 230,709.91

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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.