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Finding the Fourth Proportional to 354,805.96, 532,444 and 194,993.50

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Solution

The fourth proportional to 354,805.96, 532,444 and 194,993.50 is: 292,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,805.96 : 532,444 = 194,993.50 : x
  2. Step 2: Convert to fraction form
    354,805.96/532,444 = 194,993.50/x
  3. Step 3: Cross multiply
    354,805.96x = 532,444 × 194,993.50
  4. Step 4: Simplify right side
    354,805.96x = 103,823,119,114
  5. Step 5: Solve for x
    x = 103,823,119,114/354,805.96
  6. Step 6: Final answer
    x = 292,619.43

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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.