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Finding the Fourth Proportional to 397,182.30, 595,384.65 and 160,208.70

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Solution

The fourth proportional to 397,182.30, 595,384.65 and 160,208.70 is: 240,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,182.30 : 595,384.65 = 160,208.70 : x
  2. Step 2: Convert to fraction form
    397,182.30/595,384.65 = 160,208.70/x
  3. Step 3: Cross multiply
    397,182.30x = 595,384.65 × 160,208.70
  4. Step 4: Simplify right side
    397,182.30x = 95,385,800,776.46
  5. Step 5: Solve for x
    x = 95,385,800,776.46/397,182.30
  6. Step 6: Final answer
    x = 240,156.22

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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.