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Finding the Fourth Proportional to 406,455.54, 560,902.74 and 225,167.16

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Solution

The fourth proportional to 406,455.54, 560,902.74 and 225,167.16 is: 310,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,455.54 : 560,902.74 = 225,167.16 : x
  2. Step 2: Convert to fraction form
    406,455.54/560,902.74 = 225,167.16/x
  3. Step 3: Cross multiply
    406,455.54x = 560,902.74 × 225,167.16
  4. Step 4: Simplify right side
    406,455.54x = 126,296,877,002.02
  5. Step 5: Solve for x
    x = 126,296,877,002.02/406,455.54
  6. Step 6: Final answer
    x = 310,727.41

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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.