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Finding the Fourth Proportional to 462,524.04, 693,775.98 and 213,206.04

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Solution

The fourth proportional to 462,524.04, 693,775.98 and 213,206.04 is: 319,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,524.04 : 693,775.98 = 213,206.04 : x
  2. Step 2: Convert to fraction form
    462,524.04/693,775.98 = 213,206.04/x
  3. Step 3: Cross multiply
    462,524.04x = 693,775.98 × 213,206.04
  4. Step 4: Simplify right side
    462,524.04x = 147,917,229,342.92
  5. Step 5: Solve for x
    x = 147,917,229,342.92/462,524.04
  6. Step 6: Final answer
    x = 319,804.41

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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.