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Finding the Fourth Proportional to 412,707.15, 569,655.79 and 267,508.58

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Solution

The fourth proportional to 412,707.15, 569,655.79 and 267,508.58 is: 369,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,707.15 : 569,655.79 = 267,508.58 : x
  2. Step 2: Convert to fraction form
    412,707.15/569,655.79 = 267,508.58/x
  3. Step 3: Cross multiply
    412,707.15x = 569,655.79 × 267,508.58
  4. Step 4: Simplify right side
    412,707.15x = 152,387,807,954.63
  5. Step 5: Solve for x
    x = 152,387,807,954.63/412,707.15
  6. Step 6: Final answer
    x = 369,239.56

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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.