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Finding the Fourth Proportional to 302,885, 417,984.14 and 166,923.92

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Solution

The fourth proportional to 302,885, 417,984.14 and 166,923.92 is: 230,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,885 : 417,984.14 = 166,923.92 : x
  2. Step 2: Convert to fraction form
    302,885/417,984.14 = 166,923.92/x
  3. Step 3: Cross multiply
    302,885x = 417,984.14 × 166,923.92
  4. Step 4: Simplify right side
    302,885x = 69,771,551,146.63
  5. Step 5: Solve for x
    x = 69,771,551,146.63/302,885
  6. Step 6: Final answer
    x = 230,356.57

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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.