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Finding the Fourth Proportional to 397,079.34, 595,730.18 and 160,588.10

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Solution

The fourth proportional to 397,079.34, 595,730.18 and 160,588.10 is: 240,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,079.34 : 595,730.18 = 160,588.10 : x
  2. Step 2: Convert to fraction form
    397,079.34/595,730.18 = 160,588.10/x
  3. Step 3: Cross multiply
    397,079.34x = 595,730.18 × 160,588.10
  4. Step 4: Simplify right side
    397,079.34x = 95,667,177,718.86
  5. Step 5: Solve for x
    x = 95,667,177,718.86/397,079.34
  6. Step 6: Final answer
    x = 240,927.11

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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.