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Finding the Fourth Proportional to 468,032.84, 701,915.33 and 152,517.32

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Solution

The fourth proportional to 468,032.84, 701,915.33 and 152,517.32 is: 228,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032.84 : 701,915.33 = 152,517.32 : x
  2. Step 2: Convert to fraction form
    468,032.84/701,915.33 = 152,517.32/x
  3. Step 3: Cross multiply
    468,032.84x = 701,915.33 × 152,517.32
  4. Step 4: Simplify right side
    468,032.84x = 107,054,244,998.52
  5. Step 5: Solve for x
    x = 107,054,244,998.52/468,032.84
  6. Step 6: Final answer
    x = 228,732.34

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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.