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Finding the Fourth Proportional to 337,875.40, 466,193.64 and 201,889

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Solution

The fourth proportional to 337,875.40, 466,193.64 and 201,889 is: 278,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,875.40 : 466,193.64 = 201,889 : x
  2. Step 2: Convert to fraction form
    337,875.40/466,193.64 = 201,889/x
  3. Step 3: Cross multiply
    337,875.40x = 466,193.64 × 201,889
  4. Step 4: Simplify right side
    337,875.40x = 94,119,367,785.96
  5. Step 5: Solve for x
    x = 94,119,367,785.96/337,875.40
  6. Step 6: Final answer
    x = 278,562.36

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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.