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Finding the Fourth Proportional to 653,757.78, 902,180.34 and 367,271.76

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Solution

The fourth proportional to 653,757.78, 902,180.34 and 367,271.76 is: 506,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,757.78 : 902,180.34 = 367,271.76 : x
  2. Step 2: Convert to fraction form
    653,757.78/902,180.34 = 367,271.76/x
  3. Step 3: Cross multiply
    653,757.78x = 902,180.34 × 367,271.76
  4. Step 4: Simplify right side
    653,757.78x = 331,345,361,309.20
  5. Step 5: Solve for x
    x = 331,345,361,309.20/653,757.78
  6. Step 6: Final answer
    x = 506,832.00

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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.