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Finding the Fourth Proportional to 665,629.20, 998,443.80 and 413,686.80

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Solution

The fourth proportional to 665,629.20, 998,443.80 and 413,686.80 is: 620,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,629.20 : 998,443.80 = 413,686.80 : x
  2. Step 2: Convert to fraction form
    665,629.20/998,443.80 = 413,686.80/x
  3. Step 3: Cross multiply
    665,629.20x = 998,443.80 × 413,686.80
  4. Step 4: Simplify right side
    665,629.20x = 413,043,020,601.84
  5. Step 5: Solve for x
    x = 413,043,020,601.84/665,629.20
  6. Step 6: Final answer
    x = 620,530.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.