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Finding the Fourth Proportional to 342,078.66, 472,097.16 and 227,154.24

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Solution

The fourth proportional to 342,078.66, 472,097.16 and 227,154.24 is: 313,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,078.66 : 472,097.16 = 227,154.24 : x
  2. Step 2: Convert to fraction form
    342,078.66/472,097.16 = 227,154.24/x
  3. Step 3: Cross multiply
    342,078.66x = 472,097.16 × 227,154.24
  4. Step 4: Simplify right side
    342,078.66x = 107,238,871,585.96
  5. Step 5: Solve for x
    x = 107,238,871,585.96/342,078.66
  6. Step 6: Final answer
    x = 313,491.85

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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.