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Finding the Fourth Proportional to 354,906.50, 532,363.40 and 105,588.50

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Solution

The fourth proportional to 354,906.50, 532,363.40 and 105,588.50 is: 158,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906.50 : 532,363.40 = 105,588.50 : x
  2. Step 2: Convert to fraction form
    354,906.50/532,363.40 = 105,588.50/x
  3. Step 3: Cross multiply
    354,906.50x = 532,363.40 × 105,588.50
  4. Step 4: Simplify right side
    354,906.50x = 56,211,452,860.90
  5. Step 5: Solve for x
    x = 56,211,452,860.90/354,906.50
  6. Step 6: Final answer
    x = 158,383.84

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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.