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Finding the Fourth Proportional to 601,793.28, 902,691 and 152,514

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Solution

The fourth proportional to 601,793.28, 902,691 and 152,514 is: 228,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,793.28 : 902,691 = 152,514 : x
  2. Step 2: Convert to fraction form
    601,793.28/902,691 = 152,514/x
  3. Step 3: Cross multiply
    601,793.28x = 902,691 × 152,514
  4. Step 4: Simplify right side
    601,793.28x = 137,673,015,174
  5. Step 5: Solve for x
    x = 137,673,015,174/601,793.28
  6. Step 6: Final answer
    x = 228,771.27

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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.