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Finding the Fourth Proportional to 464,738.40, 697,093.20 and 132,314.40

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Solution

The fourth proportional to 464,738.40, 697,093.20 and 132,314.40 is: 198,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,738.40 : 697,093.20 = 132,314.40 : x
  2. Step 2: Convert to fraction form
    464,738.40/697,093.20 = 132,314.40/x
  3. Step 3: Cross multiply
    464,738.40x = 697,093.20 × 132,314.40
  4. Step 4: Simplify right side
    464,738.40x = 92,235,468,502.08
  5. Step 5: Solve for x
    x = 92,235,468,502.08/464,738.40
  6. Step 6: Final answer
    x = 198,467.50

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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.