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Finding the Fourth Proportional to 259,994.91, 358,446.02 and 206,457.15

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Solution

The fourth proportional to 259,994.91, 358,446.02 and 206,457.15 is: 284,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,994.91 : 358,446.02 = 206,457.15 : x
  2. Step 2: Convert to fraction form
    259,994.91/358,446.02 = 206,457.15/x
  3. Step 3: Cross multiply
    259,994.91x = 358,446.02 × 206,457.15
  4. Step 4: Simplify right side
    259,994.91x = 74,003,742,685.76
  5. Step 5: Solve for x
    x = 74,003,742,685.76/259,994.91
  6. Step 6: Final answer
    x = 284,635.35

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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.