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Finding the Fourth Proportional to 302,233.98, 417,083.76 and 166,276.74

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Solution

The fourth proportional to 302,233.98, 417,083.76 and 166,276.74 is: 229,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,233.98 : 417,083.76 = 166,276.74 : x
  2. Step 2: Convert to fraction form
    302,233.98/417,083.76 = 166,276.74/x
  3. Step 3: Cross multiply
    302,233.98x = 417,083.76 × 166,276.74
  4. Step 4: Simplify right side
    302,233.98x = 69,351,327,919.74
  5. Step 5: Solve for x
    x = 69,351,327,919.74/302,233.98
  6. Step 6: Final answer
    x = 229,462.38

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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.