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Finding the Fourth Proportional to 406,148.47, 560,308.65 and 244,914.02

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Solution

The fourth proportional to 406,148.47, 560,308.65 and 244,914.02 is: 337,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,148.47 : 560,308.65 = 244,914.02 : x
  2. Step 2: Convert to fraction form
    406,148.47/560,308.65 = 244,914.02/x
  3. Step 3: Cross multiply
    406,148.47x = 560,308.65 × 244,914.02
  4. Step 4: Simplify right side
    406,148.47x = 137,227,443,912.27
  5. Step 5: Solve for x
    x = 137,227,443,912.27/406,148.47
  6. Step 6: Final answer
    x = 337,875.07

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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.