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Finding the Fourth Proportional to 418,964.38, 578,165.98 and 227,974.48

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Solution

The fourth proportional to 418,964.38, 578,165.98 and 227,974.48 is: 314,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,964.38 : 578,165.98 = 227,974.48 : x
  2. Step 2: Convert to fraction form
    418,964.38/578,165.98 = 227,974.48/x
  3. Step 3: Cross multiply
    418,964.38x = 578,165.98 × 227,974.48
  4. Step 4: Simplify right side
    418,964.38x = 131,807,088,644.19
  5. Step 5: Solve for x
    x = 131,807,088,644.19/418,964.38
  6. Step 6: Final answer
    x = 314,602.14

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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.