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Finding the Fourth Proportional to 302,894.30, 417,996.96 and 166,933.10

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Solution

The fourth proportional to 302,894.30, 417,996.96 and 166,933.10 is: 230,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,894.30 : 417,996.96 = 166,933.10 : x
  2. Step 2: Convert to fraction form
    302,894.30/417,996.96 = 166,933.10/x
  3. Step 3: Cross multiply
    302,894.30x = 417,996.96 × 166,933.10
  4. Step 4: Simplify right side
    302,894.30x = 69,777,528,323.38
  5. Step 5: Solve for x
    x = 69,777,528,323.38/302,894.30
  6. Step 6: Final answer
    x = 230,369.24

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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.