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Finding the Fourth Proportional to 289,778.76, 399,894.42 and 162,454.38

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Solution

The fourth proportional to 289,778.76, 399,894.42 and 162,454.38 is: 224,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,778.76 : 399,894.42 = 162,454.38 : x
  2. Step 2: Convert to fraction form
    289,778.76/399,894.42 = 162,454.38/x
  3. Step 3: Cross multiply
    289,778.76x = 399,894.42 × 162,454.38
  4. Step 4: Simplify right side
    289,778.76x = 64,964,600,066.56
  5. Step 5: Solve for x
    x = 64,964,600,066.56/289,778.76
  6. Step 6: Final answer
    x = 224,186.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.