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Finding the Fourth Proportional to 462,333.80, 693,731.10 and 262,807.40

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Solution

The fourth proportional to 462,333.80, 693,731.10 and 262,807.40 is: 394,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,333.80 : 693,731.10 = 262,807.40 : x
  2. Step 2: Convert to fraction form
    462,333.80/693,731.10 = 262,807.40/x
  3. Step 3: Cross multiply
    462,333.80x = 693,731.10 × 262,807.40
  4. Step 4: Simplify right side
    462,333.80x = 182,317,666,690.14
  5. Step 5: Solve for x
    x = 182,317,666,690.14/462,333.80
  6. Step 6: Final answer
    x = 394,342.07

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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.