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Finding the Fourth Proportional to 280,967.40, 421,451.10 and 81,294.30

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Solution

The fourth proportional to 280,967.40, 421,451.10 and 81,294.30 is: 121,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,967.40 : 421,451.10 = 81,294.30 : x
  2. Step 2: Convert to fraction form
    280,967.40/421,451.10 = 81,294.30/x
  3. Step 3: Cross multiply
    280,967.40x = 421,451.10 × 81,294.30
  4. Step 4: Simplify right side
    280,967.40x = 34,261,572,158.73
  5. Step 5: Solve for x
    x = 34,261,572,158.73/280,967.40
  6. Step 6: Final answer
    x = 121,941.45

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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.