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Finding the Fourth Proportional to 402,722, 602,768.61 and 296,077.76

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Solution

The fourth proportional to 402,722, 602,768.61 and 296,077.76 is: 443,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,722 : 602,768.61 = 296,077.76 : x
  2. Step 2: Convert to fraction form
    402,722/602,768.61 = 296,077.76/x
  3. Step 3: Cross multiply
    402,722x = 602,768.61 × 296,077.76
  4. Step 4: Simplify right side
    402,722x = 178,466,379,847.11
  5. Step 5: Solve for x
    x = 178,466,379,847.11/402,722
  6. Step 6: Final answer
    x = 443,150.31

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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.