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Finding the Fourth Proportional to 551,160.50, 826,528.16 and 214,156.78

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Solution

The fourth proportional to 551,160.50, 826,528.16 and 214,156.78 is: 321,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,160.50 : 826,528.16 = 214,156.78 : x
  2. Step 2: Convert to fraction form
    551,160.50/826,528.16 = 214,156.78/x
  3. Step 3: Cross multiply
    551,160.50x = 826,528.16 × 214,156.78
  4. Step 4: Simplify right side
    551,160.50x = 177,006,609,324.93
  5. Step 5: Solve for x
    x = 177,006,609,324.93/551,160.50
  6. Step 6: Final answer
    x = 321,152.57

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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.