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Finding the Fourth Proportional to 284,465.76, 426,760.98 and 106,972.71

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Solution

The fourth proportional to 284,465.76, 426,760.98 and 106,972.71 is: 160,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,465.76 : 426,760.98 = 106,972.71 : x
  2. Step 2: Convert to fraction form
    284,465.76/426,760.98 = 106,972.71/x
  3. Step 3: Cross multiply
    284,465.76x = 426,760.98 × 106,972.71
  4. Step 4: Simplify right side
    284,465.76x = 45,651,778,552.86
  5. Step 5: Solve for x
    x = 45,651,778,552.86/284,465.76
  6. Step 6: Final answer
    x = 160,482.51

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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.