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Finding the Fourth Proportional to 602,678.72, 902,915.84 and 282,242.56

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Solution

The fourth proportional to 602,678.72, 902,915.84 and 282,242.56 is: 422,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,678.72 : 902,915.84 = 282,242.56 : x
  2. Step 2: Convert to fraction form
    602,678.72/902,915.84 = 282,242.56/x
  3. Step 3: Cross multiply
    602,678.72x = 902,915.84 × 282,242.56
  4. Step 4: Simplify right side
    602,678.72x = 254,841,278,146.15
  5. Step 5: Solve for x
    x = 254,841,278,146.15/602,678.72
  6. Step 6: Final answer
    x = 422,847.65

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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.