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Finding the Fourth Proportional to 296,978.04, 445,468.68 and 97,306.56

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Solution

The fourth proportional to 296,978.04, 445,468.68 and 97,306.56 is: 145,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,978.04 : 445,468.68 = 97,306.56 : x
  2. Step 2: Convert to fraction form
    296,978.04/445,468.68 = 97,306.56/x
  3. Step 3: Cross multiply
    296,978.04x = 445,468.68 × 97,306.56
  4. Step 4: Simplify right side
    296,978.04x = 43,347,024,838.54
  5. Step 5: Solve for x
    x = 43,347,024,838.54/296,978.04
  6. Step 6: Final answer
    x = 145,960.37

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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.