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Finding the Fourth Proportional to 468,033.34, 701,916.08 and 152,517.82

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Solution

The fourth proportional to 468,033.34, 701,916.08 and 152,517.82 is: 228,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,033.34 : 701,916.08 = 152,517.82 : x
  2. Step 2: Convert to fraction form
    468,033.34/701,916.08 = 152,517.82/x
  3. Step 3: Cross multiply
    468,033.34x = 701,916.08 × 152,517.82
  4. Step 4: Simplify right side
    468,033.34x = 107,054,710,344.55
  5. Step 5: Solve for x
    x = 107,054,710,344.55/468,033.34
  6. Step 6: Final answer
    x = 228,733.09

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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.