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Finding the Fourth Proportional to 262,912.48, 362,798.64 and 149,713.12

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Solution

The fourth proportional to 262,912.48, 362,798.64 and 149,713.12 is: 206,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,912.48 : 362,798.64 = 149,713.12 : x
  2. Step 2: Convert to fraction form
    262,912.48/362,798.64 = 149,713.12/x
  3. Step 3: Cross multiply
    262,912.48x = 362,798.64 × 149,713.12
  4. Step 4: Simplify right side
    262,912.48x = 54,315,716,326.16
  5. Step 5: Solve for x
    x = 54,315,716,326.16/262,912.48
  6. Step 6: Final answer
    x = 206,592.39

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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.