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Finding the Fourth Proportional to 473,162.94, 652,967.52 and 269,213.86

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Solution

The fourth proportional to 473,162.94, 652,967.52 and 269,213.86 is: 371,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,162.94 : 652,967.52 = 269,213.86 : x
  2. Step 2: Convert to fraction form
    473,162.94/652,967.52 = 269,213.86/x
  3. Step 3: Cross multiply
    473,162.94x = 652,967.52 × 269,213.86
  4. Step 4: Simplify right side
    473,162.94x = 175,787,906,320.49
  5. Step 5: Solve for x
    x = 175,787,906,320.49/473,162.94
  6. Step 6: Final answer
    x = 371,516.64

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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.