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Finding the Fourth Proportional to 313,474.83, 432,727.68 and 211,638.24

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Solution

The fourth proportional to 313,474.83, 432,727.68 and 211,638.24 is: 292,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,474.83 : 432,727.68 = 211,638.24 : x
  2. Step 2: Convert to fraction form
    313,474.83/432,727.68 = 211,638.24/x
  3. Step 3: Cross multiply
    313,474.83x = 432,727.68 × 211,638.24
  4. Step 4: Simplify right side
    313,474.83x = 91,581,724,594.48
  5. Step 5: Solve for x
    x = 91,581,724,594.48/313,474.83
  6. Step 6: Final answer
    x = 292,150.17

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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.