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Finding the Fourth Proportional to 402,653.62, 602,665.87 and 296,009.29

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Solution

The fourth proportional to 402,653.62, 602,665.87 and 296,009.29 is: 443,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,653.62 : 602,665.87 = 296,009.29 : x
  2. Step 2: Convert to fraction form
    402,653.62/602,665.87 = 296,009.29/x
  3. Step 3: Cross multiply
    402,653.62x = 602,665.87 × 296,009.29
  4. Step 4: Simplify right side
    402,653.62x = 178,394,694,805.89
  5. Step 5: Solve for x
    x = 178,394,694,805.89/402,653.62
  6. Step 6: Final answer
    x = 443,047.54

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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.