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Finding the Fourth Proportional to 365,920.40, 548,864.12 and 152,600.48

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Solution

The fourth proportional to 365,920.40, 548,864.12 and 152,600.48 is: 228,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,920.40 : 548,864.12 = 152,600.48 : x
  2. Step 2: Convert to fraction form
    365,920.40/548,864.12 = 152,600.48/x
  3. Step 3: Cross multiply
    365,920.40x = 548,864.12 × 152,600.48
  4. Step 4: Simplify right side
    365,920.40x = 83,756,928,166.78
  5. Step 5: Solve for x
    x = 83,756,928,166.78/365,920.40
  6. Step 6: Final answer
    x = 228,893.85

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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.