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Finding the Fourth Proportional to 323,775.40, 485,663.10 and 292,282.60

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Solution

The fourth proportional to 323,775.40, 485,663.10 and 292,282.60 is: 438,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,775.40 : 485,663.10 = 292,282.60 : x
  2. Step 2: Convert to fraction form
    323,775.40/485,663.10 = 292,282.60/x
  3. Step 3: Cross multiply
    323,775.40x = 485,663.10 × 292,282.60
  4. Step 4: Simplify right side
    323,775.40x = 141,950,873,592.06
  5. Step 5: Solve for x
    x = 141,950,873,592.06/323,775.40
  6. Step 6: Final answer
    x = 438,423.90

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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.