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Finding the Fourth Proportional to 484,710.10, 727,097.55 and 164,857.30

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Solution

The fourth proportional to 484,710.10, 727,097.55 and 164,857.30 is: 247,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,710.10 : 727,097.55 = 164,857.30 : x
  2. Step 2: Convert to fraction form
    484,710.10/727,097.55 = 164,857.30/x
  3. Step 3: Cross multiply
    484,710.10x = 727,097.55 × 164,857.30
  4. Step 4: Simplify right side
    484,710.10x = 119,867,338,929.62
  5. Step 5: Solve for x
    x = 119,867,338,929.62/484,710.10
  6. Step 6: Final answer
    x = 247,296.97

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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.