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Finding the Fourth Proportional to 462,098.94, 693,245.61 and 262,511.70

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Solution

The fourth proportional to 462,098.94, 693,245.61 and 262,511.70 is: 393,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098.94 : 693,245.61 = 262,511.70 : x
  2. Step 2: Convert to fraction form
    462,098.94/693,245.61 = 262,511.70/x
  3. Step 3: Cross multiply
    462,098.94x = 693,245.61 × 262,511.70
  4. Step 4: Simplify right side
    462,098.94x = 181,985,083,598.64
  5. Step 5: Solve for x
    x = 181,985,083,598.64/462,098.94
  6. Step 6: Final answer
    x = 393,822.77

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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.