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Finding the Fourth Proportional to 406,751.56, 609,842.70 and 292,972.84

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Solution

The fourth proportional to 406,751.56, 609,842.70 and 292,972.84 is: 439,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,751.56 : 609,842.70 = 292,972.84 : x
  2. Step 2: Convert to fraction form
    406,751.56/609,842.70 = 292,972.84/x
  3. Step 3: Cross multiply
    406,751.56x = 609,842.70 × 292,972.84
  4. Step 4: Simplify right side
    406,751.56x = 178,667,347,772.27
  5. Step 5: Solve for x
    x = 178,667,347,772.27/406,751.56
  6. Step 6: Final answer
    x = 439,254.24

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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.