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Finding the Fourth Proportional to 313,863.60, 470,385.80 and 145,364.40

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Solution

The fourth proportional to 313,863.60, 470,385.80 and 145,364.40 is: 217,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,863.60 : 470,385.80 = 145,364.40 : x
  2. Step 2: Convert to fraction form
    313,863.60/470,385.80 = 145,364.40/x
  3. Step 3: Cross multiply
    313,863.60x = 470,385.80 × 145,364.40
  4. Step 4: Simplify right side
    313,863.60x = 68,377,349,585.52
  5. Step 5: Solve for x
    x = 68,377,349,585.52/313,863.60
  6. Step 6: Final answer
    x = 217,856.90

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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.