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Finding the Fourth Proportional to 282,034.56, 423,336.96 and 248,969.28

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Solution

The fourth proportional to 282,034.56, 423,336.96 and 248,969.28 is: 373,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,034.56 : 423,336.96 = 248,969.28 : x
  2. Step 2: Convert to fraction form
    282,034.56/423,336.96 = 248,969.28/x
  3. Step 3: Cross multiply
    282,034.56x = 423,336.96 × 248,969.28
  4. Step 4: Simplify right side
    282,034.56x = 105,397,898,128.59
  5. Step 5: Solve for x
    x = 105,397,898,128.59/282,034.56
  6. Step 6: Final answer
    x = 373,705.61

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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.