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Finding the Fourth Proportional to 653,584.70, 902,031.31 and 367,104.78

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Solution

The fourth proportional to 653,584.70, 902,031.31 and 367,104.78 is: 506,652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,584.70 : 902,031.31 = 367,104.78 : x
  2. Step 2: Convert to fraction form
    653,584.70/902,031.31 = 367,104.78/x
  3. Step 3: Cross multiply
    653,584.70x = 902,031.31 × 367,104.78
  4. Step 4: Simplify right side
    653,584.70x = 331,140,006,738.20
  5. Step 5: Solve for x
    x = 331,140,006,738.20/653,584.70
  6. Step 6: Final answer
    x = 506,652.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.