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Finding the Fourth Proportional to 418,473.80, 577,487.04 and 227,492

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Solution

The fourth proportional to 418,473.80, 577,487.04 and 227,492 is: 313,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,473.80 : 577,487.04 = 227,492 : x
  2. Step 2: Convert to fraction form
    418,473.80/577,487.04 = 227,492/x
  3. Step 3: Cross multiply
    418,473.80x = 577,487.04 × 227,492
  4. Step 4: Simplify right side
    418,473.80x = 131,373,681,703.68
  5. Step 5: Solve for x
    x = 131,373,681,703.68/418,473.80
  6. Step 6: Final answer
    x = 313,935.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.