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Finding the Fourth Proportional to 467,893.62, 701,935.20 and 152,265.78

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Solution

The fourth proportional to 467,893.62, 701,935.20 and 152,265.78 is: 228,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,893.62 : 701,935.20 = 152,265.78 : x
  2. Step 2: Convert to fraction form
    467,893.62/701,935.20 = 152,265.78/x
  3. Step 3: Cross multiply
    467,893.62x = 701,935.20 × 152,265.78
  4. Step 4: Simplify right side
    467,893.62x = 106,880,710,737.46
  5. Step 5: Solve for x
    x = 106,880,710,737.46/467,893.62
  6. Step 6: Final answer
    x = 228,429.51

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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.