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Finding the Fourth Proportional to 543,411.06, 814,854.42 and 227,783.22

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Solution

The fourth proportional to 543,411.06, 814,854.42 and 227,783.22 is: 341,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,411.06 : 814,854.42 = 227,783.22 : x
  2. Step 2: Convert to fraction form
    543,411.06/814,854.42 = 227,783.22/x
  3. Step 3: Cross multiply
    543,411.06x = 814,854.42 × 227,783.22
  4. Step 4: Simplify right side
    543,411.06x = 185,610,163,618.83
  5. Step 5: Solve for x
    x = 185,610,163,618.83/543,411.06
  6. Step 6: Final answer
    x = 341,564.94

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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.