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Finding the Fourth Proportional to 304,454.77, 420,140.94 and 166,633.03

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Solution

The fourth proportional to 304,454.77, 420,140.94 and 166,633.03 is: 229,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,454.77 : 420,140.94 = 166,633.03 : x
  2. Step 2: Convert to fraction form
    304,454.77/420,140.94 = 166,633.03/x
  3. Step 3: Cross multiply
    304,454.77x = 420,140.94 × 166,633.03
  4. Step 4: Simplify right side
    304,454.77x = 70,009,357,859.25
  5. Step 5: Solve for x
    x = 70,009,357,859.25/304,454.77
  6. Step 6: Final answer
    x = 229,949.95

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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.