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Finding the Fourth Proportional to 543,080.84, 814,627.20 and 164,004.76

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Solution

The fourth proportional to 543,080.84, 814,627.20 and 164,004.76 is: 246,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,080.84 : 814,627.20 = 164,004.76 : x
  2. Step 2: Convert to fraction form
    543,080.84/814,627.20 = 164,004.76/x
  3. Step 3: Cross multiply
    543,080.84x = 814,627.20 × 164,004.76
  4. Step 4: Simplify right side
    543,080.84x = 133,602,738,425.47
  5. Step 5: Solve for x
    x = 133,602,738,425.47/543,080.84
  6. Step 6: Final answer
    x = 246,008.93

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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.