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Finding the Fourth Proportional to 312,082.80, 430,674.30 and 168,842.76

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Solution

The fourth proportional to 312,082.80, 430,674.30 and 168,842.76 is: 233,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,082.80 : 430,674.30 = 168,842.76 : x
  2. Step 2: Convert to fraction form
    312,082.80/430,674.30 = 168,842.76/x
  3. Step 3: Cross multiply
    312,082.80x = 430,674.30 × 168,842.76
  4. Step 4: Simplify right side
    312,082.80x = 72,716,237,473.07
  5. Step 5: Solve for x
    x = 72,716,237,473.07/312,082.80
  6. Step 6: Final answer
    x = 233,003.03

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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.