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Finding the Fourth Proportional to 322,282.08, 483,498.36 and 97,644.24

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Solution

The fourth proportional to 322,282.08, 483,498.36 and 97,644.24 is: 146,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,282.08 : 483,498.36 = 97,644.24 : x
  2. Step 2: Convert to fraction form
    322,282.08/483,498.36 = 97,644.24/x
  3. Step 3: Cross multiply
    322,282.08x = 483,498.36 × 97,644.24
  4. Step 4: Simplify right side
    322,282.08x = 47,210,829,903.45
  5. Step 5: Solve for x
    x = 47,210,829,903.45/322,282.08
  6. Step 6: Final answer
    x = 146,489.16

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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.