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Finding the Fourth Proportional to 296,503.38, 444,825.90 and 96,824.16

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Solution

The fourth proportional to 296,503.38, 444,825.90 and 96,824.16 is: 145,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,503.38 : 444,825.90 = 96,824.16 : x
  2. Step 2: Convert to fraction form
    296,503.38/444,825.90 = 96,824.16/x
  3. Step 3: Cross multiply
    296,503.38x = 444,825.90 × 96,824.16
  4. Step 4: Simplify right side
    296,503.38x = 43,069,894,113.74
  5. Step 5: Solve for x
    x = 43,069,894,113.74/296,503.38
  6. Step 6: Final answer
    x = 145,259.37

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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.