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Finding the Fourth Proportional to 406,437.26, 560,877.42 and 225,148.64

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Solution

The fourth proportional to 406,437.26, 560,877.42 and 225,148.64 is: 310,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,437.26 : 560,877.42 = 225,148.64 : x
  2. Step 2: Convert to fraction form
    406,437.26/560,877.42 = 225,148.64/x
  3. Step 3: Cross multiply
    406,437.26x = 560,877.42 × 225,148.64
  4. Step 4: Simplify right side
    406,437.26x = 126,280,788,319.71
  5. Step 5: Solve for x
    x = 126,280,788,319.71/406,437.26
  6. Step 6: Final answer
    x = 310,701.80

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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.