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Finding the Fourth Proportional to 437,307.54, 656,151.91 and 153,201.90

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Solution

The fourth proportional to 437,307.54, 656,151.91 and 153,201.90 is: 229,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,307.54 : 656,151.91 = 153,201.90 : x
  2. Step 2: Convert to fraction form
    437,307.54/656,151.91 = 153,201.90/x
  3. Step 3: Cross multiply
    437,307.54x = 656,151.91 × 153,201.90
  4. Step 4: Simplify right side
    437,307.54x = 100,523,719,300.63
  5. Step 5: Solve for x
    x = 100,523,719,300.63/437,307.54
  6. Step 6: Final answer
    x = 229,869.62

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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.