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Finding the Fourth Proportional to 406,785.45, 561,304.80 and 225,497.22

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Solution

The fourth proportional to 406,785.45, 561,304.80 and 225,497.22 is: 311,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,785.45 : 561,304.80 = 225,497.22 : x
  2. Step 2: Convert to fraction form
    406,785.45/561,304.80 = 225,497.22/x
  3. Step 3: Cross multiply
    406,785.45x = 561,304.80 × 225,497.22
  4. Step 4: Simplify right side
    406,785.45x = 126,572,671,972.66
  5. Step 5: Solve for x
    x = 126,572,671,972.66/406,785.45
  6. Step 6: Final answer
    x = 311,153.39

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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.