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Finding the Fourth Proportional to 302,349, 417,231.16 and 166,370.24

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Solution

The fourth proportional to 302,349, 417,231.16 and 166,370.24 is: 229,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,349 : 417,231.16 = 166,370.24 : x
  2. Step 2: Convert to fraction form
    302,349/417,231.16 = 166,370.24/x
  3. Step 3: Cross multiply
    302,349x = 417,231.16 × 166,370.24
  4. Step 4: Simplify right side
    302,349x = 69,414,845,306.67
  5. Step 5: Solve for x
    x = 69,414,845,306.67/302,349
  6. Step 6: Final answer
    x = 229,585.17

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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.