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Finding the Fourth Proportional to 313,684.92, 470,262.84 and 136,058.14

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Solution

The fourth proportional to 313,684.92, 470,262.84 and 136,058.14 is: 203,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,684.92 : 470,262.84 = 136,058.14 : x
  2. Step 2: Convert to fraction form
    313,684.92/470,262.84 = 136,058.14/x
  3. Step 3: Cross multiply
    313,684.92x = 470,262.84 × 136,058.14
  4. Step 4: Simplify right side
    313,684.92x = 63,983,087,321.52
  5. Step 5: Solve for x
    x = 63,983,087,321.52/313,684.92
  6. Step 6: Final answer
    x = 203,972.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.