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Finding the Fourth Proportional to 543,829.80, 815,425.56 and 164,636.40

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Solution

The fourth proportional to 543,829.80, 815,425.56 and 164,636.40 is: 246,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,829.80 : 815,425.56 = 164,636.40 : x
  2. Step 2: Convert to fraction form
    543,829.80/815,425.56 = 164,636.40/x
  3. Step 3: Cross multiply
    543,829.80x = 815,425.56 × 164,636.40
  4. Step 4: Simplify right side
    543,829.80x = 134,248,728,666.38
  5. Step 5: Solve for x
    x = 134,248,728,666.38/543,829.80
  6. Step 6: Final answer
    x = 246,857.99

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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.