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Finding the Fourth Proportional to 463,053.50, 694,704.93 and 238,291.40

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Solution

The fourth proportional to 463,053.50, 694,704.93 and 238,291.40 is: 357,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,053.50 : 694,704.93 = 238,291.40 : x
  2. Step 2: Convert to fraction form
    463,053.50/694,704.93 = 238,291.40/x
  3. Step 3: Cross multiply
    463,053.50x = 694,704.93 × 238,291.40
  4. Step 4: Simplify right side
    463,053.50x = 165,542,206,883.08
  5. Step 5: Solve for x
    x = 165,542,206,883.08/463,053.50
  6. Step 6: Final answer
    x = 357,501.26

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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.