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Finding the Fourth Proportional to 412,841.88, 569,842.74 and 269,624.16

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Solution

The fourth proportional to 412,841.88, 569,842.74 and 269,624.16 is: 372,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,841.88 : 569,842.74 = 269,624.16 : x
  2. Step 2: Convert to fraction form
    412,841.88/569,842.74 = 269,624.16/x
  3. Step 3: Cross multiply
    412,841.88x = 569,842.74 × 269,624.16
  4. Step 4: Simplify right side
    412,841.88x = 153,643,370,104.60
  5. Step 5: Solve for x
    x = 153,643,370,104.60/412,841.88
  6. Step 6: Final answer
    x = 372,160.33

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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.