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Finding the Fourth Proportional to 297,320.40, 446,034.60 and 97,585.20

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Solution

The fourth proportional to 297,320.40, 446,034.60 and 97,585.20 is: 146,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,320.40 : 446,034.60 = 97,585.20 : x
  2. Step 2: Convert to fraction form
    297,320.40/446,034.60 = 97,585.20/x
  3. Step 3: Cross multiply
    297,320.40x = 446,034.60 × 97,585.20
  4. Step 4: Simplify right side
    297,320.40x = 43,526,375,647.92
  5. Step 5: Solve for x
    x = 43,526,375,647.92/297,320.40
  6. Step 6: Final answer
    x = 146,395.52

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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.