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Finding the Fourth Proportional to 302,859.49, 417,945.24 and 166,893.40

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Solution

The fourth proportional to 302,859.49, 417,945.24 and 166,893.40 is: 230,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859.49 : 417,945.24 = 166,893.40 : x
  2. Step 2: Convert to fraction form
    302,859.49/417,945.24 = 166,893.40/x
  3. Step 3: Cross multiply
    302,859.49x = 417,945.24 × 166,893.40
  4. Step 4: Simplify right side
    302,859.49x = 69,752,302,117.42
  5. Step 5: Solve for x
    x = 69,752,302,117.42/302,859.49
  6. Step 6: Final answer
    x = 230,312.42

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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.