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Finding the Fourth Proportional to 406,381.42, 561,080.38 and 253,652.26

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Solution

The fourth proportional to 406,381.42, 561,080.38 and 253,652.26 is: 350,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,381.42 : 561,080.38 = 253,652.26 : x
  2. Step 2: Convert to fraction form
    406,381.42/561,080.38 = 253,652.26/x
  3. Step 3: Cross multiply
    406,381.42x = 561,080.38 × 253,652.26
  4. Step 4: Simplify right side
    406,381.42x = 142,319,306,428.66
  5. Step 5: Solve for x
    x = 142,319,306,428.66/406,381.42
  6. Step 6: Final answer
    x = 350,211.15

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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.