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Finding the Fourth Proportional to 397,078.49, 595,612.59 and 97,560.47

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Solution

The fourth proportional to 397,078.49, 595,612.59 and 97,560.47 is: 146,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,078.49 : 595,612.59 = 97,560.47 : x
  2. Step 2: Convert to fraction form
    397,078.49/595,612.59 = 97,560.47/x
  3. Step 3: Cross multiply
    397,078.49x = 595,612.59 × 97,560.47
  4. Step 4: Simplify right side
    397,078.49x = 58,108,241,240.25
  5. Step 5: Solve for x
    x = 58,108,241,240.25/397,078.49
  6. Step 6: Final answer
    x = 146,339.44

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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.