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Finding the Fourth Proportional to 462,380.80, 693,801.60 and 262,854.40

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Solution

The fourth proportional to 462,380.80, 693,801.60 and 262,854.40 is: 394,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,380.80 : 693,801.60 = 262,854.40 : x
  2. Step 2: Convert to fraction form
    462,380.80/693,801.60 = 262,854.40/x
  3. Step 3: Cross multiply
    462,380.80x = 693,801.60 × 262,854.40
  4. Step 4: Simplify right side
    462,380.80x = 182,368,803,287.04
  5. Step 5: Solve for x
    x = 182,368,803,287.04/462,380.80
  6. Step 6: Final answer
    x = 394,412.58

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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.