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Finding the Fourth Proportional to 397,051.65, 595,688.65 and 160,560.41

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Solution

The fourth proportional to 397,051.65, 595,688.65 and 160,560.41 is: 240,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,051.65 : 595,688.65 = 160,560.41 : x
  2. Step 2: Convert to fraction form
    397,051.65/595,688.65 = 160,560.41/x
  3. Step 3: Cross multiply
    397,051.65x = 595,688.65 × 160,560.41
  4. Step 4: Simplify right side
    397,051.65x = 95,644,013,876.35
  5. Step 5: Solve for x
    x = 95,644,013,876.35/397,051.65
  6. Step 6: Final answer
    x = 240,885.57

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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.