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Finding the Fourth Proportional to 337,866, 466,269.66 and 186,963

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Solution

The fourth proportional to 337,866, 466,269.66 and 186,963 is: 258,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,866 : 466,269.66 = 186,963 : x
  2. Step 2: Convert to fraction form
    337,866/466,269.66 = 186,963/x
  3. Step 3: Cross multiply
    337,866x = 466,269.66 × 186,963
  4. Step 4: Simplify right side
    337,866x = 87,175,174,442.58
  5. Step 5: Solve for x
    x = 87,175,174,442.58/337,866
  6. Step 6: Final answer
    x = 258,017.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.