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Finding the Fourth Proportional to 325,394.62, 487,977.54 and 97,622.32

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Solution

The fourth proportional to 325,394.62, 487,977.54 and 97,622.32 is: 146,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,394.62 : 487,977.54 = 97,622.32 : x
  2. Step 2: Convert to fraction form
    325,394.62/487,977.54 = 97,622.32/x
  3. Step 3: Cross multiply
    325,394.62x = 487,977.54 × 97,622.32
  4. Step 4: Simplify right side
    325,394.62x = 47,637,499,562.69
  5. Step 5: Solve for x
    x = 47,637,499,562.69/325,394.62
  6. Step 6: Final answer
    x = 146,399.16

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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.