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Finding the Fourth Proportional to 303,184, 418,388.25 and 167,230.63

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Solution

The fourth proportional to 303,184, 418,388.25 and 167,230.63 is: 230,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,184 : 418,388.25 = 167,230.63 : x
  2. Step 2: Convert to fraction form
    303,184/418,388.25 = 167,230.63/x
  3. Step 3: Cross multiply
    303,184x = 418,388.25 × 167,230.63
  4. Step 4: Simplify right side
    303,184x = 69,967,330,632.10
  5. Step 5: Solve for x
    x = 69,967,330,632.10/303,184
  6. Step 6: Final answer
    x = 230,775.14

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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.