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Finding the Fourth Proportional to 508,612.14, 701,886.57 and 282,257.64

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Solution

The fourth proportional to 508,612.14, 701,886.57 and 282,257.64 is: 389,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,612.14 : 701,886.57 = 282,257.64 : x
  2. Step 2: Convert to fraction form
    508,612.14/701,886.57 = 282,257.64/x
  3. Step 3: Cross multiply
    508,612.14x = 701,886.57 × 282,257.64
  4. Step 4: Simplify right side
    508,612.14x = 198,112,846,795.90
  5. Step 5: Solve for x
    x = 198,112,846,795.90/508,612.14
  6. Step 6: Final answer
    x = 389,516.55

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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.