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Finding the Fourth Proportional to 314,963.70, 472,445.55 and 128,109.30

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Solution

The fourth proportional to 314,963.70, 472,445.55 and 128,109.30 is: 192,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,963.70 : 472,445.55 = 128,109.30 : x
  2. Step 2: Convert to fraction form
    314,963.70/472,445.55 = 128,109.30/x
  3. Step 3: Cross multiply
    314,963.70x = 472,445.55 × 128,109.30
  4. Step 4: Simplify right side
    314,963.70x = 60,524,668,698.62
  5. Step 5: Solve for x
    x = 60,524,668,698.62/314,963.70
  6. Step 6: Final answer
    x = 192,163.95

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1.5x scale

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.