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Finding the Fourth Proportional to 293,668.60, 440,502.90 and 205,095.10

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Solution

The fourth proportional to 293,668.60, 440,502.90 and 205,095.10 is: 307,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,668.60 : 440,502.90 = 205,095.10 : x
  2. Step 2: Convert to fraction form
    293,668.60/440,502.90 = 205,095.10/x
  3. Step 3: Cross multiply
    293,668.60x = 440,502.90 × 205,095.10
  4. Step 4: Simplify right side
    293,668.60x = 90,344,986,325.79
  5. Step 5: Solve for x
    x = 90,344,986,325.79/293,668.60
  6. Step 6: Final answer
    x = 307,642.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.