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Finding the Fourth Proportional to 547,530.32, 821,324.92 and 173,582.48

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Solution

The fourth proportional to 547,530.32, 821,324.92 and 173,582.48 is: 260,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,530.32 : 821,324.92 = 173,582.48 : x
  2. Step 2: Convert to fraction form
    547,530.32/821,324.92 = 173,582.48/x
  3. Step 3: Cross multiply
    547,530.32x = 821,324.92 × 173,582.48
  4. Step 4: Simplify right side
    547,530.32x = 142,567,616,499.40
  5. Step 5: Solve for x
    x = 142,567,616,499.40/547,530.32
  6. Step 6: Final answer
    x = 260,383.05

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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.