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Finding the Fourth Proportional to 315,227.30, 472,673.84 and 137,526.72

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Solution

The fourth proportional to 315,227.30, 472,673.84 and 137,526.72 is: 206,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,227.30 : 472,673.84 = 137,526.72 : x
  2. Step 2: Convert to fraction form
    315,227.30/472,673.84 = 137,526.72/x
  3. Step 3: Cross multiply
    315,227.30x = 472,673.84 × 137,526.72
  4. Step 4: Simplify right side
    315,227.30x = 65,005,282,845.00
  5. Step 5: Solve for x
    x = 65,005,282,845.00/315,227.30
  6. Step 6: Final answer
    x = 206,217.17

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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.