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Finding the Fourth Proportional to 289,077.40, 433,691.70 and 111,590.20

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Solution

The fourth proportional to 289,077.40, 433,691.70 and 111,590.20 is: 167,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,077.40 : 433,691.70 = 111,590.20 : x
  2. Step 2: Convert to fraction form
    289,077.40/433,691.70 = 111,590.20/x
  3. Step 3: Cross multiply
    289,077.40x = 433,691.70 × 111,590.20
  4. Step 4: Simplify right side
    289,077.40x = 48,395,743,541.34
  5. Step 5: Solve for x
    x = 48,395,743,541.34/289,077.40
  6. Step 6: Final answer
    x = 167,414.48

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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.