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Finding the Fourth Proportional to 296,419.97, 444,700.70 and 96,740.74

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Solution

The fourth proportional to 296,419.97, 444,700.70 and 96,740.74 is: 145,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,419.97 : 444,700.70 = 96,740.74 : x
  2. Step 2: Convert to fraction form
    296,419.97/444,700.70 = 96,740.74/x
  3. Step 3: Cross multiply
    296,419.97x = 444,700.70 × 96,740.74
  4. Step 4: Simplify right side
    296,419.97x = 43,020,674,796.52
  5. Step 5: Solve for x
    x = 43,020,674,796.52/296,419.97
  6. Step 6: Final answer
    x = 145,134.20

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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.