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Finding the Fourth Proportional to 397,117.28, 595,674.76 and 160,457.20

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Solution

The fourth proportional to 397,117.28, 595,674.76 and 160,457.20 is: 240,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,117.28 : 595,674.76 = 160,457.20 : x
  2. Step 2: Convert to fraction form
    397,117.28/595,674.76 = 160,457.20/x
  3. Step 3: Cross multiply
    397,117.28x = 595,674.76 × 160,457.20
  4. Step 4: Simplify right side
    397,117.28x = 95,580,304,100.27
  5. Step 5: Solve for x
    x = 95,580,304,100.27/397,117.28
  6. Step 6: Final answer
    x = 240,685.33

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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.