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Finding the Fourth Proportional to 406,561.24, 609,731.70 and 169,854.40

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Solution

The fourth proportional to 406,561.24, 609,731.70 and 169,854.40 is: 254,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,561.24 : 609,731.70 = 169,854.40 : x
  2. Step 2: Convert to fraction form
    406,561.24/609,731.70 = 169,854.40/x
  3. Step 3: Cross multiply
    406,561.24x = 609,731.70 × 169,854.40
  4. Step 4: Simplify right side
    406,561.24x = 103,565,612,064.48
  5. Step 5: Solve for x
    x = 103,565,612,064.48/406,561.24
  6. Step 6: Final answer
    x = 254,735.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.