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Finding the Fourth Proportional to 602,576.56, 902,763.24 and 282,140.56

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Solution

The fourth proportional to 602,576.56, 902,763.24 and 282,140.56 is: 422,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,576.56 : 902,763.24 = 282,140.56 : x
  2. Step 2: Convert to fraction form
    602,576.56/902,763.24 = 282,140.56/x
  3. Step 3: Cross multiply
    602,576.56x = 902,763.24 × 282,140.56
  4. Step 4: Simplify right side
    602,576.56x = 254,706,126,081.01
  5. Step 5: Solve for x
    x = 254,706,126,081.01/602,576.56
  6. Step 6: Final answer
    x = 422,695.04

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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.