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Finding the Fourth Proportional to 397,333.14, 595,812.60 and 144,435.78

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Solution

The fourth proportional to 397,333.14, 595,812.60 and 144,435.78 is: 216,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,333.14 : 595,812.60 = 144,435.78 : x
  2. Step 2: Convert to fraction form
    397,333.14/595,812.60 = 144,435.78/x
  3. Step 3: Cross multiply
    397,333.14x = 595,812.60 × 144,435.78
  4. Step 4: Simplify right side
    397,333.14x = 86,056,657,614.83
  5. Step 5: Solve for x
    x = 86,056,657,614.83/397,333.14
  6. Step 6: Final answer
    x = 216,585.65

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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.