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Finding the Fourth Proportional to 262,420.27, 362,189.42 and 164,348.98

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Solution

The fourth proportional to 262,420.27, 362,189.42 and 164,348.98 is: 226,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,420.27 : 362,189.42 = 164,348.98 : x
  2. Step 2: Convert to fraction form
    262,420.27/362,189.42 = 164,348.98/x
  3. Step 3: Cross multiply
    262,420.27x = 362,189.42 × 164,348.98
  4. Step 4: Simplify right side
    262,420.27x = 59,525,461,743.79
  5. Step 5: Solve for x
    x = 59,525,461,743.79/262,420.27
  6. Step 6: Final answer
    x = 226,832.56

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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.