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Finding the Fourth Proportional to 314,747.97, 472,238.69 and 146,358.69

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Solution

The fourth proportional to 314,747.97, 472,238.69 and 146,358.69 is: 219,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,747.97 : 472,238.69 = 146,358.69 : x
  2. Step 2: Convert to fraction form
    314,747.97/472,238.69 = 146,358.69/x
  3. Step 3: Cross multiply
    314,747.97x = 472,238.69 × 146,358.69
  4. Step 4: Simplify right side
    314,747.97x = 69,116,235,303.92
  5. Step 5: Solve for x
    x = 69,116,235,303.92/314,747.97
  6. Step 6: Final answer
    x = 219,592.31

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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.