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Finding the Fourth Proportional to 322,451.52, 483,678.40 and 97,813.88

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Solution

The fourth proportional to 322,451.52, 483,678.40 and 97,813.88 is: 146,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,451.52 : 483,678.40 = 97,813.88 : x
  2. Step 2: Convert to fraction form
    322,451.52/483,678.40 = 97,813.88/x
  3. Step 3: Cross multiply
    322,451.52x = 483,678.40 × 97,813.88
  4. Step 4: Simplify right side
    322,451.52x = 47,310,460,976.19
  5. Step 5: Solve for x
    x = 47,310,460,976.19/322,451.52
  6. Step 6: Final answer
    x = 146,721.16

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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.