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Finding the Fourth Proportional to 406,436.68, 560,875.25 and 225,148.05

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Solution

The fourth proportional to 406,436.68, 560,875.25 and 225,148.05 is: 310,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,436.68 : 560,875.25 = 225,148.05 : x
  2. Step 2: Convert to fraction form
    406,436.68/560,875.25 = 225,148.05/x
  3. Step 3: Cross multiply
    406,436.68x = 560,875.25 × 225,148.05
  4. Step 4: Simplify right side
    406,436.68x = 126,279,969,393.63
  5. Step 5: Solve for x
    x = 126,279,969,393.63/406,436.68
  6. Step 6: Final answer
    x = 310,700.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.