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Finding the Fourth Proportional to 551,605.14, 827,385.23 and 152,235.65

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Solution

The fourth proportional to 551,605.14, 827,385.23 and 152,235.65 is: 228,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,605.14 : 827,385.23 = 152,235.65 : x
  2. Step 2: Convert to fraction form
    551,605.14/827,385.23 = 152,235.65/x
  3. Step 3: Cross multiply
    551,605.14x = 827,385.23 × 152,235.65
  4. Step 4: Simplify right side
    551,605.14x = 125,957,530,738.50
  5. Step 5: Solve for x
    x = 125,957,530,738.50/551,605.14
  6. Step 6: Final answer
    x = 228,347.28

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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.