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Finding the Fourth Proportional to 410,844.48, 616,442.40 and 197,509.92

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Solution

The fourth proportional to 410,844.48, 616,442.40 and 197,509.92 is: 296,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,844.48 : 616,442.40 = 197,509.92 : x
  2. Step 2: Convert to fraction form
    410,844.48/616,442.40 = 197,509.92/x
  3. Step 3: Cross multiply
    410,844.48x = 616,442.40 × 197,509.92
  4. Step 4: Simplify right side
    410,844.48x = 121,753,489,108.61
  5. Step 5: Solve for x
    x = 121,753,489,108.61/410,844.48
  6. Step 6: Final answer
    x = 296,349.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.