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Finding the Fourth Proportional to 827,269.50, 1,240,625.18 and 314,813

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Solution

The fourth proportional to 827,269.50, 1,240,625.18 and 314,813 is: 472,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,269.50 : 1,240,625.18 = 314,813 : x
  2. Step 2: Convert to fraction form
    827,269.50/1,240,625.18 = 314,813/x
  3. Step 3: Cross multiply
    827,269.50x = 1,240,625.18 × 314,813
  4. Step 4: Simplify right side
    827,269.50x = 390,564,934,791.34
  5. Step 5: Solve for x
    x = 390,564,934,791.34/827,269.50
  6. Step 6: Final answer
    x = 472,113.30

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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.