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Finding the Fourth Proportional to 412,745.40, 569,618.10 and 229,044.24

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Solution

The fourth proportional to 412,745.40, 569,618.10 and 229,044.24 is: 316,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,745.40 : 569,618.10 = 229,044.24 : x
  2. Step 2: Convert to fraction form
    412,745.40/569,618.10 = 229,044.24/x
  3. Step 3: Cross multiply
    412,745.40x = 569,618.10 × 229,044.24
  4. Step 4: Simplify right side
    412,745.40x = 130,467,744,804.74
  5. Step 5: Solve for x
    x = 130,467,744,804.74/412,745.40
  6. Step 6: Final answer
    x = 316,097.39

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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.