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Finding the Fourth Proportional to 654,285.60, 902,851.92 and 382,417.20

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Solution

The fourth proportional to 654,285.60, 902,851.92 and 382,417.20 is: 527,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,285.60 : 902,851.92 = 382,417.20 : x
  2. Step 2: Convert to fraction form
    654,285.60/902,851.92 = 382,417.20/x
  3. Step 3: Cross multiply
    654,285.60x = 902,851.92 × 382,417.20
  4. Step 4: Simplify right side
    654,285.60x = 345,266,103,261.02
  5. Step 5: Solve for x
    x = 345,266,103,261.02/654,285.60
  6. Step 6: Final answer
    x = 527,699.38

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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.