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Finding the Fourth Proportional to 407,139.60, 561,856.02 and 225,863.40

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Solution

The fourth proportional to 407,139.60, 561,856.02 and 225,863.40 is: 311,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,139.60 : 561,856.02 = 225,863.40 : x
  2. Step 2: Convert to fraction form
    407,139.60/561,856.02 = 225,863.40/x
  3. Step 3: Cross multiply
    407,139.60x = 561,856.02 × 225,863.40
  4. Step 4: Simplify right side
    407,139.60x = 126,902,710,987.67
  5. Step 5: Solve for x
    x = 126,902,710,987.67/407,139.60
  6. Step 6: Final answer
    x = 311,693.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.