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Finding the Fourth Proportional to 280,954.80, 421,432.20 and 186,476.40

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Solution

The fourth proportional to 280,954.80, 421,432.20 and 186,476.40 is: 279,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,954.80 : 421,432.20 = 186,476.40 : x
  2. Step 2: Convert to fraction form
    280,954.80/421,432.20 = 186,476.40/x
  3. Step 3: Cross multiply
    280,954.80x = 421,432.20 × 186,476.40
  4. Step 4: Simplify right side
    280,954.80x = 78,587,159,500.08
  5. Step 5: Solve for x
    x = 78,587,159,500.08/280,954.80
  6. Step 6: Final answer
    x = 279,714.60

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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.