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Finding the Fourth Proportional to 407,038.14, 561,746.34 and 225,808.56

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Solution

The fourth proportional to 407,038.14, 561,746.34 and 225,808.56 is: 311,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,038.14 : 561,746.34 = 225,808.56 : x
  2. Step 2: Convert to fraction form
    407,038.14/561,746.34 = 225,808.56/x
  3. Step 3: Cross multiply
    407,038.14x = 561,746.34 × 225,808.56
  4. Step 4: Simplify right side
    407,038.14x = 126,847,132,120.67
  5. Step 5: Solve for x
    x = 126,847,132,120.67/407,038.14
  6. Step 6: Final answer
    x = 311,634.51

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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.