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Finding the Fourth Proportional to 397,572.46, 596,355.95 and 160,911.72

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Solution

The fourth proportional to 397,572.46, 596,355.95 and 160,911.72 is: 241,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,572.46 : 596,355.95 = 160,911.72 : x
  2. Step 2: Convert to fraction form
    397,572.46/596,355.95 = 160,911.72/x
  3. Step 3: Cross multiply
    397,572.46x = 596,355.95 × 160,911.72
  4. Step 4: Simplify right side
    397,572.46x = 95,960,661,646.73
  5. Step 5: Solve for x
    x = 95,960,661,646.73/397,572.46
  6. Step 6: Final answer
    x = 241,366.47

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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.