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Finding the Fourth Proportional to 418,861.58, 578,229.75 and 257,854.64

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Solution

The fourth proportional to 418,861.58, 578,229.75 and 257,854.64 is: 355,963.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,861.58 : 578,229.75 = 257,854.64 : x
  2. Step 2: Convert to fraction form
    418,861.58/578,229.75 = 257,854.64/x
  3. Step 3: Cross multiply
    418,861.58x = 578,229.75 × 257,854.64
  4. Step 4: Simplify right side
    418,861.58x = 149,099,222,734.27
  5. Step 5: Solve for x
    x = 149,099,222,734.27/418,861.58
  6. Step 6: Final answer
    x = 355,963.00

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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.