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Finding the Fourth Proportional to 540,659.88, 746,078.58 and 298,923.48

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Solution

The fourth proportional to 540,659.88, 746,078.58 and 298,923.48 is: 412,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,659.88 : 746,078.58 = 298,923.48 : x
  2. Step 2: Convert to fraction form
    540,659.88/746,078.58 = 298,923.48/x
  3. Step 3: Cross multiply
    540,659.88x = 746,078.58 × 298,923.48
  4. Step 4: Simplify right side
    540,659.88x = 223,020,405,487.06
  5. Step 5: Solve for x
    x = 223,020,405,487.06/540,659.88
  6. Step 6: Final answer
    x = 412,496.68

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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.