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Finding the Fourth Proportional to 233,288.40, 349,932.60 and 186,632.40

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Solution

The fourth proportional to 233,288.40, 349,932.60 and 186,632.40 is: 279,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,288.40 : 349,932.60 = 186,632.40 : x
  2. Step 2: Convert to fraction form
    233,288.40/349,932.60 = 186,632.40/x
  3. Step 3: Cross multiply
    233,288.40x = 349,932.60 × 186,632.40
  4. Step 4: Simplify right side
    233,288.40x = 65,308,760,976.24
  5. Step 5: Solve for x
    x = 65,308,760,976.24/233,288.40
  6. Step 6: Final answer
    x = 279,948.60

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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.