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Finding the Fourth Proportional to 259,992.16, 358,442.22 and 206,454.40

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Solution

The fourth proportional to 259,992.16, 358,442.22 and 206,454.40 is: 284,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,992.16 : 358,442.22 = 206,454.40 : x
  2. Step 2: Convert to fraction form
    259,992.16/358,442.22 = 206,454.40/x
  3. Step 3: Cross multiply
    259,992.16x = 358,442.22 × 206,454.40
  4. Step 4: Simplify right side
    259,992.16x = 74,001,973,464.77
  5. Step 5: Solve for x
    x = 74,001,973,464.77/259,992.16
  6. Step 6: Final answer
    x = 284,631.56

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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.