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Finding the Fourth Proportional to 406,594.68, 561,084.54 and 225,314.28

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Solution

The fourth proportional to 406,594.68, 561,084.54 and 225,314.28 is: 310,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,594.68 : 561,084.54 = 225,314.28 : x
  2. Step 2: Convert to fraction form
    406,594.68/561,084.54 = 225,314.28/x
  3. Step 3: Cross multiply
    406,594.68x = 561,084.54 × 225,314.28
  4. Step 4: Simplify right side
    406,594.68x = 126,420,359,149.23
  5. Step 5: Solve for x
    x = 126,420,359,149.23/406,594.68
  6. Step 6: Final answer
    x = 310,924.77

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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.