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Finding the Fourth Proportional to 418,810.61, 577,958.20 and 227,823.54

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Solution

The fourth proportional to 418,810.61, 577,958.20 and 227,823.54 is: 314,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,810.61 : 577,958.20 = 227,823.54 : x
  2. Step 2: Convert to fraction form
    418,810.61/577,958.20 = 227,823.54/x
  3. Step 3: Cross multiply
    418,810.61x = 577,958.20 × 227,823.54
  4. Step 4: Simplify right side
    418,810.61x = 131,672,482,526.47
  5. Step 5: Solve for x
    x = 131,672,482,526.47/418,810.61
  6. Step 6: Final answer
    x = 314,396.25

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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.