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Finding the Fourth Proportional to 460,802, 691,242.60 and 128,378

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Solution

The fourth proportional to 460,802, 691,242.60 and 128,378 is: 192,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,802 : 691,242.60 = 128,378 : x
  2. Step 2: Convert to fraction form
    460,802/691,242.60 = 128,378/x
  3. Step 3: Cross multiply
    460,802x = 691,242.60 × 128,378
  4. Step 4: Simplify right side
    460,802x = 88,740,342,502.80
  5. Step 5: Solve for x
    x = 88,740,342,502.80/460,802
  6. Step 6: Final answer
    x = 192,578.03

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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.