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Finding the Fourth Proportional to 302,235.98, 417,086.52 and 166,278.74

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Solution

The fourth proportional to 302,235.98, 417,086.52 and 166,278.74 is: 229,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,235.98 : 417,086.52 = 166,278.74 : x
  2. Step 2: Convert to fraction form
    302,235.98/417,086.52 = 166,278.74/x
  3. Step 3: Cross multiply
    302,235.98x = 417,086.52 × 166,278.74
  4. Step 4: Simplify right side
    302,235.98x = 69,352,621,016.58
  5. Step 5: Solve for x
    x = 69,352,621,016.58/302,235.98
  6. Step 6: Final answer
    x = 229,465.14

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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.