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Finding the Fourth Proportional to 397,078.09, 595,728.30 and 160,586.84

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Solution

The fourth proportional to 397,078.09, 595,728.30 and 160,586.84 is: 240,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,078.09 : 595,728.30 = 160,586.84 : x
  2. Step 2: Convert to fraction form
    397,078.09/595,728.30 = 160,586.84/x
  3. Step 3: Cross multiply
    397,078.09x = 595,728.30 × 160,586.84
  4. Step 4: Simplify right side
    397,078.09x = 95,666,125,195.57
  5. Step 5: Solve for x
    x = 95,666,125,195.57/397,078.09
  6. Step 6: Final answer
    x = 240,925.22

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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.