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Finding the Fourth Proportional to 333,691.20, 499,944.96 and 277,200

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Solution

The fourth proportional to 333,691.20, 499,944.96 and 277,200 is: 415,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,691.20 : 499,944.96 = 277,200 : x
  2. Step 2: Convert to fraction form
    333,691.20/499,944.96 = 277,200/x
  3. Step 3: Cross multiply
    333,691.20x = 499,944.96 × 277,200
  4. Step 4: Simplify right side
    333,691.20x = 138,584,742,912
  5. Step 5: Solve for x
    x = 138,584,742,912/333,691.20
  6. Step 6: Final answer
    x = 415,308.35

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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.