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Finding the Fourth Proportional to 551,117.89, 826,729.13 and 214,184.58

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Solution

The fourth proportional to 551,117.89, 826,729.13 and 214,184.58 is: 321,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,117.89 : 826,729.13 = 214,184.58 : x
  2. Step 2: Convert to fraction form
    551,117.89/826,729.13 = 214,184.58/x
  3. Step 3: Cross multiply
    551,117.89x = 826,729.13 × 214,184.58
  4. Step 4: Simplify right side
    551,117.89x = 177,072,631,482.82
  5. Step 5: Solve for x
    x = 177,072,631,482.82/551,117.89
  6. Step 6: Final answer
    x = 321,297.19

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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.