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Finding the Fourth Proportional to 551,738.17, 827,609.10 and 152,370.10

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Solution

The fourth proportional to 551,738.17, 827,609.10 and 152,370.10 is: 228,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,738.17 : 827,609.10 = 152,370.10 : x
  2. Step 2: Convert to fraction form
    551,738.17/827,609.10 = 152,370.10/x
  3. Step 3: Cross multiply
    551,738.17x = 827,609.10 × 152,370.10
  4. Step 4: Simplify right side
    551,738.17x = 126,102,881,327.91
  5. Step 5: Solve for x
    x = 126,102,881,327.91/551,738.17
  6. Step 6: Final answer
    x = 228,555.66

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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.