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Finding the Fourth Proportional to 289,114.11, 433,618.92 and 78,702.84

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Solution

The fourth proportional to 289,114.11, 433,618.92 and 78,702.84 is: 118,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,114.11 : 433,618.92 = 78,702.84 : x
  2. Step 2: Convert to fraction form
    289,114.11/433,618.92 = 78,702.84/x
  3. Step 3: Cross multiply
    289,114.11x = 433,618.92 × 78,702.84
  4. Step 4: Simplify right side
    289,114.11x = 34,127,040,481.73
  5. Step 5: Solve for x
    x = 34,127,040,481.73/289,114.11
  6. Step 6: Final answer
    x = 118,040.04

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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.