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Finding the Fourth Proportional to 349,306.60, 523,959.90 and 96,586.60

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Solution

The fourth proportional to 349,306.60, 523,959.90 and 96,586.60 is: 144,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,306.60 : 523,959.90 = 96,586.60 : x
  2. Step 2: Convert to fraction form
    349,306.60/523,959.90 = 96,586.60/x
  3. Step 3: Cross multiply
    349,306.60x = 523,959.90 × 96,586.60
  4. Step 4: Simplify right side
    349,306.60x = 50,607,505,277.34
  5. Step 5: Solve for x
    x = 50,607,505,277.34/349,306.60
  6. Step 6: Final answer
    x = 144,879.90

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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.