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Finding the Fourth Proportional to 302,364.54, 417,256.65 and 166,391.46

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Solution

The fourth proportional to 302,364.54, 417,256.65 and 166,391.46 is: 229,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,364.54 : 417,256.65 = 166,391.46 : x
  2. Step 2: Convert to fraction form
    302,364.54/417,256.65 = 166,391.46/x
  3. Step 3: Cross multiply
    302,364.54x = 417,256.65 × 166,391.46
  4. Step 4: Simplify right side
    302,364.54x = 69,427,943,188.21
  5. Step 5: Solve for x
    x = 69,427,943,188.21/302,364.54
  6. Step 6: Final answer
    x = 229,616.68

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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.