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Finding the Fourth Proportional to 412,549.12, 569,317.12 and 251,404.80

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Solution

The fourth proportional to 412,549.12, 569,317.12 and 251,404.80 is: 346,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,549.12 : 569,317.12 = 251,404.80 : x
  2. Step 2: Convert to fraction form
    412,549.12/569,317.12 = 251,404.80/x
  3. Step 3: Cross multiply
    412,549.12x = 569,317.12 × 251,404.80
  4. Step 4: Simplify right side
    412,549.12x = 143,129,056,690.18
  5. Step 5: Solve for x
    x = 143,129,056,690.18/412,549.12
  6. Step 6: Final answer
    x = 346,938.22

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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.