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Finding the Fourth Proportional to 418,397.42, 577,385.55 and 227,410.80

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Solution

The fourth proportional to 418,397.42, 577,385.55 and 227,410.80 is: 313,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,397.42 : 577,385.55 = 227,410.80 : x
  2. Step 2: Convert to fraction form
    418,397.42/577,385.55 = 227,410.80/x
  3. Step 3: Cross multiply
    418,397.42x = 577,385.55 × 227,410.80
  4. Step 4: Simplify right side
    418,397.42x = 131,303,709,833.94
  5. Step 5: Solve for x
    x = 131,303,709,833.94/418,397.42
  6. Step 6: Final answer
    x = 313,825.34

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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.