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Finding the Fourth Proportional to 551,642.40, 827,447.13 and 152,307.54

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Solution

The fourth proportional to 551,642.40, 827,447.13 and 152,307.54 is: 228,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,642.40 : 827,447.13 = 152,307.54 : x
  2. Step 2: Convert to fraction form
    551,642.40/827,447.13 = 152,307.54/x
  3. Step 3: Cross multiply
    551,642.40x = 827,447.13 × 152,307.54
  4. Step 4: Simplify right side
    551,642.40x = 126,026,436,850.36
  5. Step 5: Solve for x
    x = 126,026,436,850.36/551,642.40
  6. Step 6: Final answer
    x = 228,456.76

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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.