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Finding the Fourth Proportional to 402,672.04, 602,693.76 and 296,027.76

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Solution

The fourth proportional to 402,672.04, 602,693.76 and 296,027.76 is: 443,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,672.04 : 602,693.76 = 296,027.76 : x
  2. Step 2: Convert to fraction form
    402,672.04/602,693.76 = 296,027.76/x
  3. Step 3: Cross multiply
    402,672.04x = 602,693.76 × 296,027.76
  4. Step 4: Simplify right side
    402,672.04x = 178,414,083,738.78
  5. Step 5: Solve for x
    x = 178,414,083,738.78/402,672.04
  6. Step 6: Final answer
    x = 443,075.42

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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.