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Finding the Fourth Proportional to 407,081.72, 561,840.05 and 225,852.02

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Solution

The fourth proportional to 407,081.72, 561,840.05 and 225,852.02 is: 311,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,081.72 : 561,840.05 = 225,852.02 : x
  2. Step 2: Convert to fraction form
    407,081.72/561,840.05 = 225,852.02/x
  3. Step 3: Cross multiply
    407,081.72x = 561,840.05 × 225,852.02
  4. Step 4: Simplify right side
    407,081.72x = 126,892,710,209.40
  5. Step 5: Solve for x
    x = 126,892,710,209.40/407,081.72
  6. Step 6: Final answer
    x = 311,713.11

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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.