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Finding the Fourth Proportional to 296,937.40, 445,503.84 and 197,488.84

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Solution

The fourth proportional to 296,937.40, 445,503.84 and 197,488.84 is: 296,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,937.40 : 445,503.84 = 197,488.84 : x
  2. Step 2: Convert to fraction form
    296,937.40/445,503.84 = 197,488.84/x
  3. Step 3: Cross multiply
    296,937.40x = 445,503.84 × 197,488.84
  4. Step 4: Simplify right side
    296,937.40x = 87,982,036,577.15
  5. Step 5: Solve for x
    x = 87,982,036,577.15/296,937.40
  6. Step 6: Final answer
    x = 296,298.27

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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.