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Finding the Fourth Proportional to 332,948.46, 499,357.53 and 277,147.02

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Solution

The fourth proportional to 332,948.46, 499,357.53 and 277,147.02 is: 415,666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,948.46 : 499,357.53 = 277,147.02 : x
  2. Step 2: Convert to fraction form
    332,948.46/499,357.53 = 277,147.02/x
  3. Step 3: Cross multiply
    332,948.46x = 499,357.53 × 277,147.02
  4. Step 4: Simplify right side
    332,948.46x = 138,395,451,354.06
  5. Step 5: Solve for x
    x = 138,395,451,354.06/332,948.46
  6. Step 6: Final answer
    x = 415,666.29

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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.