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Finding the Fourth Proportional to 418,457.84, 577,472.24 and 227,471.24

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Solution

The fourth proportional to 418,457.84, 577,472.24 and 227,471.24 is: 313,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,457.84 : 577,472.24 = 227,471.24 : x
  2. Step 2: Convert to fraction form
    418,457.84/577,472.24 = 227,471.24/x
  3. Step 3: Cross multiply
    418,457.84x = 577,472.24 × 227,471.24
  4. Step 4: Simplify right side
    418,457.84x = 131,358,326,498.38
  5. Step 5: Solve for x
    x = 131,358,326,498.38/418,457.84
  6. Step 6: Final answer
    x = 313,910.54

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Half scale
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Double scale
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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.