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Finding the Fourth Proportional to 406,476.66, 560,941.72 and 225,192.44

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Solution

The fourth proportional to 406,476.66, 560,941.72 and 225,192.44 is: 310,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,476.66 : 560,941.72 = 225,192.44 : x
  2. Step 2: Convert to fraction form
    406,476.66/560,941.72 = 225,192.44/x
  3. Step 3: Cross multiply
    406,476.66x = 560,941.72 × 225,192.44
  4. Step 4: Simplify right side
    406,476.66x = 126,319,834,624.60
  5. Step 5: Solve for x
    x = 126,319,834,624.60/406,476.66
  6. Step 6: Final answer
    x = 310,767.74

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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.