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Finding the Fourth Proportional to 406,436.56, 560,875.08 and 225,147.93

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Solution

The fourth proportional to 406,436.56, 560,875.08 and 225,147.93 is: 310,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,436.56 : 560,875.08 = 225,147.93 : x
  2. Step 2: Convert to fraction form
    406,436.56/560,875.08 = 225,147.93/x
  3. Step 3: Cross multiply
    406,436.56x = 560,875.08 × 225,147.93
  4. Step 4: Simplify right side
    406,436.56x = 126,279,863,250.58
  5. Step 5: Solve for x
    x = 126,279,863,250.58/406,436.56
  6. Step 6: Final answer
    x = 310,700.06

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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.