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Finding the Fourth Proportional to 468,056.88, 702,125.25 and 164,424.50

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Solution

The fourth proportional to 468,056.88, 702,125.25 and 164,424.50 is: 246,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,056.88 : 702,125.25 = 164,424.50 : x
  2. Step 2: Convert to fraction form
    468,056.88/702,125.25 = 164,424.50/x
  3. Step 3: Cross multiply
    468,056.88x = 702,125.25 × 164,424.50
  4. Step 4: Simplify right side
    468,056.88x = 115,446,592,136.82
  5. Step 5: Solve for x
    x = 115,446,592,136.82/468,056.88
  6. Step 6: Final answer
    x = 246,650.78

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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.