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Finding the Fourth Proportional to 460,398.24, 690,655.68 and 127,974.24

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Solution

The fourth proportional to 460,398.24, 690,655.68 and 127,974.24 is: 191,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,398.24 : 690,655.68 = 127,974.24 : x
  2. Step 2: Convert to fraction form
    460,398.24/690,655.68 = 127,974.24/x
  3. Step 3: Cross multiply
    460,398.24x = 690,655.68 × 127,974.24
  4. Step 4: Simplify right side
    460,398.24x = 88,386,135,749.68
  5. Step 5: Solve for x
    x = 88,386,135,749.68/460,398.24
  6. Step 6: Final answer
    x = 191,977.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.