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Finding the Fourth Proportional to 297,491.04, 446,141.88 and 97,765.20

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Solution

The fourth proportional to 297,491.04, 446,141.88 and 97,765.20 is: 146,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,491.04 : 446,141.88 = 97,765.20 : x
  2. Step 2: Convert to fraction form
    297,491.04/446,141.88 = 97,765.20/x
  3. Step 3: Cross multiply
    297,491.04x = 446,141.88 × 97,765.20
  4. Step 4: Simplify right side
    297,491.04x = 43,617,150,126.58
  5. Step 5: Solve for x
    x = 43,617,150,126.58/297,491.04
  6. Step 6: Final answer
    x = 146,616.69

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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.