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Finding the Fourth Proportional to 302,728.97, 417,798.80 and 166,776.85

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Solution

The fourth proportional to 302,728.97, 417,798.80 and 166,776.85 is: 230,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,728.97 : 417,798.80 = 166,776.85 : x
  2. Step 2: Convert to fraction form
    302,728.97/417,798.80 = 166,776.85/x
  3. Step 3: Cross multiply
    302,728.97x = 417,798.80 × 166,776.85
  4. Step 4: Simplify right side
    302,728.97x = 69,679,168,111.56
  5. Step 5: Solve for x
    x = 69,679,168,111.56/302,728.97
  6. Step 6: Final answer
    x = 230,170.13

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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.