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Finding the Fourth Proportional to 406,437.56, 560,876.46 and 225,148.93

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Solution

The fourth proportional to 406,437.56, 560,876.46 and 225,148.93 is: 310,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,437.56 : 560,876.46 = 225,148.93 : x
  2. Step 2: Convert to fraction form
    406,437.56/560,876.46 = 225,148.93/x
  3. Step 3: Cross multiply
    406,437.56x = 560,876.46 × 225,148.93
  4. Step 4: Simplify right side
    406,437.56x = 126,280,734,831.19
  5. Step 5: Solve for x
    x = 126,280,734,831.19/406,437.56
  6. Step 6: Final answer
    x = 310,701.44

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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.