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Finding the Fourth Proportional to 288,534.81, 398,289.11 and 258,266.73

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Solution

The fourth proportional to 288,534.81, 398,289.11 and 258,266.73 is: 356,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,534.81 : 398,289.11 = 258,266.73 : x
  2. Step 2: Convert to fraction form
    288,534.81/398,289.11 = 258,266.73/x
  3. Step 3: Cross multiply
    288,534.81x = 398,289.11 × 258,266.73
  4. Step 4: Simplify right side
    288,534.81x = 102,864,826,034.31
  5. Step 5: Solve for x
    x = 102,864,826,034.31/288,534.81
  6. Step 6: Final answer
    x = 356,507.51

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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.