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Finding the Fourth Proportional to 468,021.92, 702,147.36 and 152,480.48

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Solution

The fourth proportional to 468,021.92, 702,147.36 and 152,480.48 is: 228,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,021.92 : 702,147.36 = 152,480.48 : x
  2. Step 2: Convert to fraction form
    468,021.92/702,147.36 = 152,480.48/x
  3. Step 3: Cross multiply
    468,021.92x = 702,147.36 × 152,480.48
  4. Step 4: Simplify right side
    468,021.92x = 107,063,766,483.53
  5. Step 5: Solve for x
    x = 107,063,766,483.53/468,021.92
  6. Step 6: Final answer
    x = 228,758.02

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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.