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Finding the Fourth Proportional to 314,951.68, 472,624.35 and 127,963.18

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Solution

The fourth proportional to 314,951.68, 472,624.35 and 127,963.18 is: 192,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,951.68 : 472,624.35 = 127,963.18 : x
  2. Step 2: Convert to fraction form
    314,951.68/472,624.35 = 127,963.18/x
  3. Step 3: Cross multiply
    314,951.68x = 472,624.35 × 127,963.18
  4. Step 4: Simplify right side
    314,951.68x = 60,478,514,771.43
  5. Step 5: Solve for x
    x = 60,478,514,771.43/314,951.68
  6. Step 6: Final answer
    x = 192,024.74

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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.