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Finding the Fourth Proportional to 291,227.80, 436,856.10 and 151,259.80

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Solution

The fourth proportional to 291,227.80, 436,856.10 and 151,259.80 is: 226,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,227.80 : 436,856.10 = 151,259.80 : x
  2. Step 2: Convert to fraction form
    291,227.80/436,856.10 = 151,259.80/x
  3. Step 3: Cross multiply
    291,227.80x = 436,856.10 × 151,259.80
  4. Step 4: Simplify right side
    291,227.80x = 66,078,766,314.78
  5. Step 5: Solve for x
    x = 66,078,766,314.78/291,227.80
  6. Step 6: Final answer
    x = 226,897.18

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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.