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Finding the Fourth Proportional to 301,712.16, 416,395.44 and 192,915.12

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Solution

The fourth proportional to 301,712.16, 416,395.44 and 192,915.12 is: 266,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,712.16 : 416,395.44 = 192,915.12 : x
  2. Step 2: Convert to fraction form
    301,712.16/416,395.44 = 192,915.12/x
  3. Step 3: Cross multiply
    301,712.16x = 416,395.44 × 192,915.12
  4. Step 4: Simplify right side
    301,712.16x = 80,328,976,275.05
  5. Step 5: Solve for x
    x = 80,328,976,275.05/301,712.16
  6. Step 6: Final answer
    x = 266,243.75

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1.5x scale

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.