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Finding the Fourth Proportional to 418,820.86, 577,972.34 and 227,833.80

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Solution

The fourth proportional to 418,820.86, 577,972.34 and 227,833.80 is: 314,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,820.86 : 577,972.34 = 227,833.80 : x
  2. Step 2: Convert to fraction form
    418,820.86/577,972.34 = 227,833.80/x
  3. Step 3: Cross multiply
    418,820.86x = 577,972.34 × 227,833.80
  4. Step 4: Simplify right side
    418,820.86x = 131,681,634,517.09
  5. Step 5: Solve for x
    x = 131,681,634,517.09/418,820.86
  6. Step 6: Final answer
    x = 314,410.40

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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.