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Finding the Fourth Proportional to 322,519.32, 483,779.88 and 97,881.48

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Solution

The fourth proportional to 322,519.32, 483,779.88 and 97,881.48 is: 146,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,519.32 : 483,779.88 = 97,881.48 : x
  2. Step 2: Convert to fraction form
    322,519.32/483,779.88 = 97,881.48/x
  3. Step 3: Cross multiply
    322,519.32x = 483,779.88 × 97,881.48
  4. Step 4: Simplify right side
    322,519.32x = 47,353,090,648.62
  5. Step 5: Solve for x
    x = 47,353,090,648.62/322,519.32
  6. Step 6: Final answer
    x = 146,822.49

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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.