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Finding the Fourth Proportional to 468,087.84, 702,181.20 and 152,569.44

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Solution

The fourth proportional to 468,087.84, 702,181.20 and 152,569.44 is: 228,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,087.84 : 702,181.20 = 152,569.44 : x
  2. Step 2: Convert to fraction form
    468,087.84/702,181.20 = 152,569.44/x
  3. Step 3: Cross multiply
    468,087.84x = 702,181.20 × 152,569.44
  4. Step 4: Simplify right side
    468,087.84x = 107,131,392,462.53
  5. Step 5: Solve for x
    x = 107,131,392,462.53/468,087.84
  6. Step 6: Final answer
    x = 228,870.27

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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.