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Finding the Fourth Proportional to 412,617.60, 569,411.82 and 231,329.57

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Solution

The fourth proportional to 412,617.60, 569,411.82 and 231,329.57 is: 319,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,617.60 : 569,411.82 = 231,329.57 : x
  2. Step 2: Convert to fraction form
    412,617.60/569,411.82 = 231,329.57/x
  3. Step 3: Cross multiply
    412,617.60x = 569,411.82 × 231,329.57
  4. Step 4: Simplify right side
    412,617.60x = 131,721,788,626.46
  5. Step 5: Solve for x
    x = 131,721,788,626.46/412,617.60
  6. Step 6: Final answer
    x = 319,234.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.