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Finding the Fourth Proportional to 462,384.80, 693,807.60 and 262,858.40

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Solution

The fourth proportional to 462,384.80, 693,807.60 and 262,858.40 is: 394,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,384.80 : 693,807.60 = 262,858.40 : x
  2. Step 2: Convert to fraction form
    462,384.80/693,807.60 = 262,858.40/x
  3. Step 3: Cross multiply
    462,384.80x = 693,807.60 × 262,858.40
  4. Step 4: Simplify right side
    462,384.80x = 182,373,155,643.84
  5. Step 5: Solve for x
    x = 182,373,155,643.84/462,384.80
  6. Step 6: Final answer
    x = 394,418.58

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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.