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Finding the Fourth Proportional to 827,465.50, 1,241,198.32 and 266,500

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Solution

The fourth proportional to 827,465.50, 1,241,198.32 and 266,500 is: 399,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,465.50 : 1,241,198.32 = 266,500 : x
  2. Step 2: Convert to fraction form
    827,465.50/1,241,198.32 = 266,500/x
  3. Step 3: Cross multiply
    827,465.50x = 1,241,198.32 × 266,500
  4. Step 4: Simplify right side
    827,465.50x = 330,779,352,280
  5. Step 5: Solve for x
    x = 330,779,352,280/827,465.50
  6. Step 6: Final answer
    x = 399,750.02

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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.