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Finding the Fourth Proportional to 406,241.40, 560,606.16 and 224,949.36

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Solution

The fourth proportional to 406,241.40, 560,606.16 and 224,949.36 is: 310,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,241.40 : 560,606.16 = 224,949.36 : x
  2. Step 2: Convert to fraction form
    406,241.40/560,606.16 = 224,949.36/x
  3. Step 3: Cross multiply
    406,241.40x = 560,606.16 × 224,949.36
  4. Step 4: Simplify right side
    406,241.40x = 126,107,996,904.06
  5. Step 5: Solve for x
    x = 126,107,996,904.06/406,241.40
  6. Step 6: Final answer
    x = 310,426.26

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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.