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Finding the Fourth Proportional to 397,191.32, 595,599.73 and 144,293.48

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Solution

The fourth proportional to 397,191.32, 595,599.73 and 144,293.48 is: 216,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,191.32 : 595,599.73 = 144,293.48 : x
  2. Step 2: Convert to fraction form
    397,191.32/595,599.73 = 144,293.48/x
  3. Step 3: Cross multiply
    397,191.32x = 595,599.73 × 144,293.48
  4. Step 4: Simplify right side
    397,191.32x = 85,941,157,728.76
  5. Step 5: Solve for x
    x = 85,941,157,728.76/397,191.32
  6. Step 6: Final answer
    x = 216,372.19

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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.