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Finding the Fourth Proportional to 458,707.28, 633,016.68 and 257,504.72

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Solution

The fourth proportional to 458,707.28, 633,016.68 and 257,504.72 is: 355,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,707.28 : 633,016.68 = 257,504.72 : x
  2. Step 2: Convert to fraction form
    458,707.28/633,016.68 = 257,504.72/x
  3. Step 3: Cross multiply
    458,707.28x = 633,016.68 × 257,504.72
  4. Step 4: Simplify right side
    458,707.28x = 163,004,782,938.73
  5. Step 5: Solve for x
    x = 163,004,782,938.73/458,707.28
  6. Step 6: Final answer
    x = 355,356.87

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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.