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Finding the Fourth Proportional to 304,275.82, 419,868.30 and 168,288.16

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Solution

The fourth proportional to 304,275.82, 419,868.30 and 168,288.16 is: 232,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,275.82 : 419,868.30 = 168,288.16 : x
  2. Step 2: Convert to fraction form
    304,275.82/419,868.30 = 168,288.16/x
  3. Step 3: Cross multiply
    304,275.82x = 419,868.30 × 168,288.16
  4. Step 4: Simplify right side
    304,275.82x = 70,658,861,549.99
  5. Step 5: Solve for x
    x = 70,658,861,549.99/304,275.82
  6. Step 6: Final answer
    x = 232,219.78

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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.