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Finding the Fourth Proportional to 262,424.28, 362,194.96 and 164,352.98

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Solution

The fourth proportional to 262,424.28, 362,194.96 and 164,352.98 is: 226,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,424.28 : 362,194.96 = 164,352.98 : x
  2. Step 2: Convert to fraction form
    262,424.28/362,194.96 = 164,352.98/x
  3. Step 3: Cross multiply
    262,424.28x = 362,194.96 × 164,352.98
  4. Step 4: Simplify right side
    262,424.28x = 59,527,821,016.98
  5. Step 5: Solve for x
    x = 59,527,821,016.98/262,424.28
  6. Step 6: Final answer
    x = 226,838.08

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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.