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Finding the Fourth Proportional to 358,065, 494,142.12 and 196,932.24

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Solution

The fourth proportional to 358,065, 494,142.12 and 196,932.24 is: 271,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,065 : 494,142.12 = 196,932.24 : x
  2. Step 2: Convert to fraction form
    358,065/494,142.12 = 196,932.24/x
  3. Step 3: Cross multiply
    358,065x = 494,142.12 × 196,932.24
  4. Step 4: Simplify right side
    358,065x = 97,312,514,569.95
  5. Step 5: Solve for x
    x = 97,312,514,569.95/358,065
  6. Step 6: Final answer
    x = 271,773.32

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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.