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Finding the Fourth Proportional to 418,451.82, 577,463.94 and 227,465.22

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Solution

The fourth proportional to 418,451.82, 577,463.94 and 227,465.22 is: 313,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,451.82 : 577,463.94 = 227,465.22 : x
  2. Step 2: Convert to fraction form
    418,451.82/577,463.94 = 227,465.22/x
  3. Step 3: Cross multiply
    418,451.82x = 577,463.94 × 227,465.22
  4. Step 4: Simplify right side
    418,451.82x = 131,352,962,154.17
  5. Step 5: Solve for x
    x = 131,352,962,154.17/418,451.82
  6. Step 6: Final answer
    x = 313,902.24

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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.