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Finding the Fourth Proportional to 462,496.83, 693,193.02 and 237,964.83

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Solution

The fourth proportional to 462,496.83, 693,193.02 and 237,964.83 is: 356,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,496.83 : 693,193.02 = 237,964.83 : x
  2. Step 2: Convert to fraction form
    462,496.83/693,193.02 = 237,964.83/x
  3. Step 3: Cross multiply
    462,496.83x = 693,193.02 × 237,964.83
  4. Step 4: Simplify right side
    462,496.83x = 164,955,559,161.49
  5. Step 5: Solve for x
    x = 164,955,559,161.49/462,496.83
  6. Step 6: Final answer
    x = 356,663.11

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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.