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Finding the Fourth Proportional to 386,937.96, 533,998.28 and 257,654.76

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Solution

The fourth proportional to 386,937.96, 533,998.28 and 257,654.76 is: 355,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,937.96 : 533,998.28 = 257,654.76 : x
  2. Step 2: Convert to fraction form
    386,937.96/533,998.28 = 257,654.76/x
  3. Step 3: Cross multiply
    386,937.96x = 533,998.28 × 257,654.76
  4. Step 4: Simplify right side
    386,937.96x = 137,587,198,673.81
  5. Step 5: Solve for x
    x = 137,587,198,673.81/386,937.96
  6. Step 6: Final answer
    x = 355,579.48

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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.