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Finding the Fourth Proportional to 406,526.64, 609,691.92 and 169,740.96

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Solution

The fourth proportional to 406,526.64, 609,691.92 and 169,740.96 is: 254,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,526.64 : 609,691.92 = 169,740.96 : x
  2. Step 2: Convert to fraction form
    406,526.64/609,691.92 = 169,740.96/x
  3. Step 3: Cross multiply
    406,526.64x = 609,691.92 × 169,740.96
  4. Step 4: Simplify right side
    406,526.64x = 103,489,691,805.04
  5. Step 5: Solve for x
    x = 103,489,691,805.04/406,526.64
  6. Step 6: Final answer
    x = 254,570.50

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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.