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Finding the Fourth Proportional to 546,163.50, 819,383.49 and 152,179.50

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Solution

The fourth proportional to 546,163.50, 819,383.49 and 152,179.50 is: 228,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,163.50 : 819,383.49 = 152,179.50 : x
  2. Step 2: Convert to fraction form
    546,163.50/819,383.49 = 152,179.50/x
  3. Step 3: Cross multiply
    546,163.50x = 819,383.49 × 152,179.50
  4. Step 4: Simplify right side
    546,163.50x = 124,693,369,816.46
  5. Step 5: Solve for x
    x = 124,693,369,816.46/546,163.50
  6. Step 6: Final answer
    x = 228,307.77

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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.