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Finding the Fourth Proportional to 314,967.70, 472,451.55 and 128,113.30

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Solution

The fourth proportional to 314,967.70, 472,451.55 and 128,113.30 is: 192,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,967.70 : 472,451.55 = 128,113.30 : x
  2. Step 2: Convert to fraction form
    314,967.70/472,451.55 = 128,113.30/x
  3. Step 3: Cross multiply
    314,967.70x = 472,451.55 × 128,113.30
  4. Step 4: Simplify right side
    314,967.70x = 60,527,327,160.62
  5. Step 5: Solve for x
    x = 60,527,327,160.62/314,967.70
  6. Step 6: Final answer
    x = 192,169.95

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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.