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Finding the Fourth Proportional to 260,018.16, 358,478.10 and 206,480.40

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Solution

The fourth proportional to 260,018.16, 358,478.10 and 206,480.40 is: 284,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,018.16 : 358,478.10 = 206,480.40 : x
  2. Step 2: Convert to fraction form
    260,018.16/358,478.10 = 206,480.40/x
  3. Step 3: Cross multiply
    260,018.16x = 358,478.10 × 206,480.40
  4. Step 4: Simplify right side
    260,018.16x = 74,018,701,479.24
  5. Step 5: Solve for x
    x = 74,018,701,479.24/260,018.16
  6. Step 6: Final answer
    x = 284,667.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.