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Finding the Fourth Proportional to 412,914.17, 569,820.63 and 229,180.89

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Solution

The fourth proportional to 412,914.17, 569,820.63 and 229,180.89 is: 316,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,914.17 : 569,820.63 = 229,180.89 : x
  2. Step 2: Convert to fraction form
    412,914.17/569,820.63 = 229,180.89/x
  3. Step 3: Cross multiply
    412,914.17x = 569,820.63 × 229,180.89
  4. Step 4: Simplify right side
    412,914.17x = 130,592,002,120.02
  5. Step 5: Solve for x
    x = 130,592,002,120.02/412,914.17
  6. Step 6: Final answer
    x = 316,269.12

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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.