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Finding the Fourth Proportional to 341,431.86, 471,335.41 and 198,164.22

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Solution

The fourth proportional to 341,431.86, 471,335.41 and 198,164.22 is: 273,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,431.86 : 471,335.41 = 198,164.22 : x
  2. Step 2: Convert to fraction form
    341,431.86/471,335.41 = 198,164.22/x
  3. Step 3: Cross multiply
    341,431.86x = 471,335.41 × 198,164.22
  4. Step 4: Simplify right side
    341,431.86x = 93,401,813,897.82
  5. Step 5: Solve for x
    x = 93,401,813,897.82/341,431.86
  6. Step 6: Final answer
    x = 273,559.16

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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.