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Finding the Fourth Proportional to 233,674.24, 322,470.24 and 127,690.24

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Solution

The fourth proportional to 233,674.24, 322,470.24 and 127,690.24 is: 176,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,674.24 : 322,470.24 = 127,690.24 : x
  2. Step 2: Convert to fraction form
    233,674.24/322,470.24 = 127,690.24/x
  3. Step 3: Cross multiply
    233,674.24x = 322,470.24 × 127,690.24
  4. Step 4: Simplify right side
    233,674.24x = 41,176,302,338.46
  5. Step 5: Solve for x
    x = 41,176,302,338.46/233,674.24
  6. Step 6: Final answer
    x = 176,212.42

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1.5x scale

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.