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Finding the Fourth Proportional to 551,911.92, 827,707.98 and 214,877.46

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Solution

The fourth proportional to 551,911.92, 827,707.98 and 214,877.46 is: 322,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,911.92 : 827,707.98 = 214,877.46 : x
  2. Step 2: Convert to fraction form
    551,911.92/827,707.98 = 214,877.46/x
  3. Step 3: Cross multiply
    551,911.92x = 827,707.98 × 214,877.46
  4. Step 4: Simplify right side
    551,911.92x = 177,855,788,364.13
  5. Step 5: Solve for x
    x = 177,855,788,364.13/551,911.92
  6. Step 6: Final answer
    x = 322,253.94

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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.