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Finding the Fourth Proportional to 338,226.40, 466,751.46 and 187,323.40

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Solution

The fourth proportional to 338,226.40, 466,751.46 and 187,323.40 is: 258,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,226.40 : 466,751.46 = 187,323.40 : x
  2. Step 2: Convert to fraction form
    338,226.40/466,751.46 = 187,323.40/x
  3. Step 3: Cross multiply
    338,226.40x = 466,751.46 × 187,323.40
  4. Step 4: Simplify right side
    338,226.40x = 87,433,470,442.16
  5. Step 5: Solve for x
    x = 87,433,470,442.16/338,226.40
  6. Step 6: Final answer
    x = 258,505.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.