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Finding the Fourth Proportional to 456,930.96, 682,125.42 and 397,160.16

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Solution

The fourth proportional to 456,930.96, 682,125.42 and 397,160.16 is: 592,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,930.96 : 682,125.42 = 397,160.16 : x
  2. Step 2: Convert to fraction form
    456,930.96/682,125.42 = 397,160.16/x
  3. Step 3: Cross multiply
    456,930.96x = 682,125.42 × 397,160.16
  4. Step 4: Simplify right side
    456,930.96x = 270,913,040,947.27
  5. Step 5: Solve for x
    x = 270,913,040,947.27/456,930.96
  6. Step 6: Final answer
    x = 592,897.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.