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Finding the Fourth Proportional to 827,464.50, 1,241,196.82 and 266,499

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Solution

The fourth proportional to 827,464.50, 1,241,196.82 and 266,499 is: 399,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,464.50 : 1,241,196.82 = 266,499 : x
  2. Step 2: Convert to fraction form
    827,464.50/1,241,196.82 = 266,499/x
  3. Step 3: Cross multiply
    827,464.50x = 1,241,196.82 × 266,499
  4. Step 4: Simplify right side
    827,464.50x = 330,777,710,666.93
  5. Step 5: Solve for x
    x = 330,777,710,666.93/827,464.50
  6. Step 6: Final answer
    x = 399,748.52

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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.