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Finding the Fourth Proportional to 289,497.60, 434,764.80 and 280,166.40

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Solution

The fourth proportional to 289,497.60, 434,764.80 and 280,166.40 is: 420,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,497.60 : 434,764.80 = 280,166.40 : x
  2. Step 2: Convert to fraction form
    289,497.60/434,764.80 = 280,166.40/x
  3. Step 3: Cross multiply
    289,497.60x = 434,764.80 × 280,166.40
  4. Step 4: Simplify right side
    289,497.60x = 121,806,488,862.72
  5. Step 5: Solve for x
    x = 121,806,488,862.72/289,497.60
  6. Step 6: Final answer
    x = 420,751.29

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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.