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Finding the Fourth Proportional to 418,891.58, 578,053.23 and 227,905.16

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Solution

The fourth proportional to 418,891.58, 578,053.23 and 227,905.16 is: 314,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,891.58 : 578,053.23 = 227,905.16 : x
  2. Step 2: Convert to fraction form
    418,891.58/578,053.23 = 227,905.16/x
  3. Step 3: Cross multiply
    418,891.58x = 578,053.23 × 227,905.16
  4. Step 4: Simplify right side
    418,891.58x = 131,741,313,871.67
  5. Step 5: Solve for x
    x = 131,741,313,871.67/418,891.58
  6. Step 6: Final answer
    x = 314,499.79

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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.