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Finding the Fourth Proportional to 302,474, 417,414.12 and 168,369.68

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Solution

The fourth proportional to 302,474, 417,414.12 and 168,369.68 is: 232,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,474 : 417,414.12 = 168,369.68 : x
  2. Step 2: Convert to fraction form
    302,474/417,414.12 = 168,369.68/x
  3. Step 3: Cross multiply
    302,474x = 417,414.12 × 168,369.68
  4. Step 4: Simplify right side
    302,474x = 70,279,881,811.88
  5. Step 5: Solve for x
    x = 70,279,881,811.88/302,474
  6. Step 6: Final answer
    x = 232,350.16

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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.