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Finding the Fourth Proportional to 462,677.58, 693,846.37 and 158,985.61

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Solution

The fourth proportional to 462,677.58, 693,846.37 and 158,985.61 is: 238,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,677.58 : 693,846.37 = 158,985.61 : x
  2. Step 2: Convert to fraction form
    462,677.58/693,846.37 = 158,985.61/x
  3. Step 3: Cross multiply
    462,677.58x = 693,846.37 × 158,985.61
  4. Step 4: Simplify right side
    462,677.58x = 110,311,588,380.74
  5. Step 5: Solve for x
    x = 110,311,588,380.74/462,677.58
  6. Step 6: Final answer
    x = 238,420.00

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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.