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Finding the Fourth Proportional to 233,959.14, 322,785.09 and 190,864.14

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Solution

The fourth proportional to 233,959.14, 322,785.09 and 190,864.14 is: 263,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,959.14 : 322,785.09 = 190,864.14 : x
  2. Step 2: Convert to fraction form
    233,959.14/322,785.09 = 190,864.14/x
  3. Step 3: Cross multiply
    233,959.14x = 322,785.09 × 190,864.14
  4. Step 4: Simplify right side
    233,959.14x = 61,608,096,681.49
  5. Step 5: Solve for x
    x = 61,608,096,681.49/233,959.14
  6. Step 6: Final answer
    x = 263,328.44

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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.