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Finding the Fourth Proportional to 322,272.64, 483,242.91 and 144,627.36

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Solution

The fourth proportional to 322,272.64, 483,242.91 and 144,627.36 is: 216,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,272.64 : 483,242.91 = 144,627.36 : x
  2. Step 2: Convert to fraction form
    322,272.64/483,242.91 = 144,627.36/x
  3. Step 3: Cross multiply
    322,272.64x = 483,242.91 × 144,627.36
  4. Step 4: Simplify right side
    322,272.64x = 69,890,146,312.02
  5. Step 5: Solve for x
    x = 69,890,146,312.02/322,272.64
  6. Step 6: Final answer
    x = 216,866.52

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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.