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Finding the Fourth Proportional to 302,642.83, 417,630.89 and 166,650.23

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Solution

The fourth proportional to 302,642.83, 417,630.89 and 166,650.23 is: 229,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,642.83 : 417,630.89 = 166,650.23 : x
  2. Step 2: Convert to fraction form
    302,642.83/417,630.89 = 166,650.23/x
  3. Step 3: Cross multiply
    302,642.83x = 417,630.89 × 166,650.23
  4. Step 4: Simplify right side
    302,642.83x = 69,598,282,047.73
  5. Step 5: Solve for x
    x = 69,598,282,047.73/302,642.83
  6. Step 6: Final answer
    x = 229,968.38

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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.