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Finding the Fourth Proportional to 418,047.12, 576,908.04 and 227,060.52

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Solution

The fourth proportional to 418,047.12, 576,908.04 and 227,060.52 is: 313,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,047.12 : 576,908.04 = 227,060.52 : x
  2. Step 2: Convert to fraction form
    418,047.12/576,908.04 = 227,060.52/x
  3. Step 3: Cross multiply
    418,047.12x = 576,908.04 × 227,060.52
  4. Step 4: Simplify right side
    418,047.12x = 130,993,039,554.58
  5. Step 5: Solve for x
    x = 130,993,039,554.58/418,047.12
  6. Step 6: Final answer
    x = 313,345.15

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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.