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Finding the Fourth Proportional to 473,905.92, 653,990.20 and 259,046.84

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Solution

The fourth proportional to 473,905.92, 653,990.20 and 259,046.84 is: 357,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,905.92 : 653,990.20 = 259,046.84 : x
  2. Step 2: Convert to fraction form
    473,905.92/653,990.20 = 259,046.84/x
  3. Step 3: Cross multiply
    473,905.92x = 653,990.20 × 259,046.84
  4. Step 4: Simplify right side
    473,905.92x = 169,414,094,700.97
  5. Step 5: Solve for x
    x = 169,414,094,700.97/473,905.92
  6. Step 6: Final answer
    x = 357,484.66

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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.