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Finding the Fourth Proportional to 262,654.81, 362,465.10 and 149,477.56

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Solution

The fourth proportional to 262,654.81, 362,465.10 and 149,477.56 is: 206,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,654.81 : 362,465.10 = 149,477.56 : x
  2. Step 2: Convert to fraction form
    262,654.81/362,465.10 = 149,477.56/x
  3. Step 3: Cross multiply
    262,654.81x = 362,465.10 × 149,477.56
  4. Step 4: Simplify right side
    262,654.81x = 54,180,398,733.16
  5. Step 5: Solve for x
    x = 54,180,398,733.16/262,654.81
  6. Step 6: Final answer
    x = 206,279.86

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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.