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Finding the Fourth Proportional to 299,053.80, 447,924.60 and 265,811.40

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Solution

The fourth proportional to 299,053.80, 447,924.60 and 265,811.40 is: 398,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,053.80 : 447,924.60 = 265,811.40 : x
  2. Step 2: Convert to fraction form
    299,053.80/447,924.60 = 265,811.40/x
  3. Step 3: Cross multiply
    299,053.80x = 447,924.60 × 265,811.40
  4. Step 4: Simplify right side
    299,053.80x = 119,063,465,020.44
  5. Step 5: Solve for x
    x = 119,063,465,020.44/299,053.80
  6. Step 6: Final answer
    x = 398,133.93

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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.