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Finding the Fourth Proportional to 417,892.84, 576,251.22 and 296,908.12

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Solution

The fourth proportional to 417,892.84, 576,251.22 and 296,908.12 is: 409,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,892.84 : 576,251.22 = 296,908.12 : x
  2. Step 2: Convert to fraction form
    417,892.84/576,251.22 = 296,908.12/x
  3. Step 3: Cross multiply
    417,892.84x = 576,251.22 × 296,908.12
  4. Step 4: Simplify right side
    417,892.84x = 171,093,666,377.91
  5. Step 5: Solve for x
    x = 171,093,666,377.91/417,892.84
  6. Step 6: Final answer
    x = 409,419.95

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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.