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Finding the Fourth Proportional to 412,777.87, 569,391.69 and 259,573.66

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Solution

The fourth proportional to 412,777.87, 569,391.69 and 259,573.66 is: 358,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,777.87 : 569,391.69 = 259,573.66 : x
  2. Step 2: Convert to fraction form
    412,777.87/569,391.69 = 259,573.66/x
  3. Step 3: Cross multiply
    412,777.87x = 569,391.69 × 259,573.66
  4. Step 4: Simplify right side
    412,777.87x = 147,799,084,946.89
  5. Step 5: Solve for x
    x = 147,799,084,946.89/412,777.87
  6. Step 6: Final answer
    x = 358,059.61

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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.