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Finding the Fourth Proportional to 333,471.04, 460,233.86 and 190,198.24

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Solution

The fourth proportional to 333,471.04, 460,233.86 and 190,198.24 is: 262,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,471.04 : 460,233.86 = 190,198.24 : x
  2. Step 2: Convert to fraction form
    333,471.04/460,233.86 = 190,198.24/x
  3. Step 3: Cross multiply
    333,471.04x = 460,233.86 × 190,198.24
  4. Step 4: Simplify right side
    333,471.04x = 87,535,670,160.41
  5. Step 5: Solve for x
    x = 87,535,670,160.41/333,471.04
  6. Step 6: Final answer
    x = 262,498.57

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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.