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Finding the Fourth Proportional to 284,718.60, 426,859.20 and 160,059.60

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Solution

The fourth proportional to 284,718.60, 426,859.20 and 160,059.60 is: 239,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,718.60 : 426,859.20 = 160,059.60 : x
  2. Step 2: Convert to fraction form
    284,718.60/426,859.20 = 160,059.60/x
  3. Step 3: Cross multiply
    284,718.60x = 426,859.20 × 160,059.60
  4. Step 4: Simplify right side
    284,718.60x = 68,322,912,808.32
  5. Step 5: Solve for x
    x = 68,322,912,808.32/284,718.60
  6. Step 6: Final answer
    x = 239,966.45

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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.