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Finding the Fourth Proportional to 313,902.19, 433,182.84 and 170,662.24

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Solution

The fourth proportional to 313,902.19, 433,182.84 and 170,662.24 is: 235,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,902.19 : 433,182.84 = 170,662.24 : x
  2. Step 2: Convert to fraction form
    313,902.19/433,182.84 = 170,662.24/x
  3. Step 3: Cross multiply
    313,902.19x = 433,182.84 × 170,662.24
  4. Step 4: Simplify right side
    313,902.19x = 73,927,953,705.46
  5. Step 5: Solve for x
    x = 73,927,953,705.46/313,902.19
  6. Step 6: Final answer
    x = 235,512.71

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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.