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Finding the Fourth Proportional to 484,804.38, 727,285.34 and 143,282.46

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Solution

The fourth proportional to 484,804.38, 727,285.34 and 143,282.46 is: 214,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,804.38 : 727,285.34 = 143,282.46 : x
  2. Step 2: Convert to fraction form
    484,804.38/727,285.34 = 143,282.46/x
  3. Step 3: Cross multiply
    484,804.38x = 727,285.34 × 143,282.46
  4. Step 4: Simplify right side
    484,804.38x = 104,207,232,637.14
  5. Step 5: Solve for x
    x = 104,207,232,637.14/484,804.38
  6. Step 6: Final answer
    x = 214,946.97

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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.