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Finding the Fourth Proportional to 397,293.52, 595,752.96 and 144,396.12

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Solution

The fourth proportional to 397,293.52, 595,752.96 and 144,396.12 is: 216,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,293.52 : 595,752.96 = 144,396.12 : x
  2. Step 2: Convert to fraction form
    397,293.52/595,752.96 = 144,396.12/x
  3. Step 3: Cross multiply
    397,293.52x = 595,752.96 × 144,396.12
  4. Step 4: Simplify right side
    397,293.52x = 86,024,415,902.52
  5. Step 5: Solve for x
    x = 86,024,415,902.52/397,293.52
  6. Step 6: Final answer
    x = 216,526.10

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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.