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Finding the Fourth Proportional to 259,535.80, 389,303.70 and 233,291.80

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Solution

The fourth proportional to 259,535.80, 389,303.70 and 233,291.80 is: 349,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,535.80 : 389,303.70 = 233,291.80 : x
  2. Step 2: Convert to fraction form
    259,535.80/389,303.70 = 233,291.80/x
  3. Step 3: Cross multiply
    259,535.80x = 389,303.70 × 233,291.80
  4. Step 4: Simplify right side
    259,535.80x = 90,821,360,919.66
  5. Step 5: Solve for x
    x = 90,821,360,919.66/259,535.80
  6. Step 6: Final answer
    x = 349,937.70

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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.