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Finding the Fourth Proportional to 462,064.43, 693,162.33 and 142,242.98

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Solution

The fourth proportional to 462,064.43, 693,162.33 and 142,242.98 is: 213,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,064.43 : 693,162.33 = 142,242.98 : x
  2. Step 2: Convert to fraction form
    462,064.43/693,162.33 = 142,242.98/x
  3. Step 3: Cross multiply
    462,064.43x = 693,162.33 × 142,242.98
  4. Step 4: Simplify right side
    462,064.43x = 98,597,471,977.13
  5. Step 5: Solve for x
    x = 98,597,471,977.13/462,064.43
  6. Step 6: Final answer
    x = 213,384.69

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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.