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Finding the Fourth Proportional to 402,650.48, 602,661.46 and 296,006.21

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Solution

The fourth proportional to 402,650.48, 602,661.46 and 296,006.21 is: 443,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,650.48 : 602,661.46 = 296,006.21 : x
  2. Step 2: Convert to fraction form
    402,650.48/602,661.46 = 296,006.21/x
  3. Step 3: Cross multiply
    402,650.48x = 602,661.46 × 296,006.21
  4. Step 4: Simplify right side
    402,650.48x = 178,391,532,470.61
  5. Step 5: Solve for x
    x = 178,391,532,470.61/402,650.48
  6. Step 6: Final answer
    x = 443,043.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.