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Finding the Fourth Proportional to 549,209.54, 823,662.03 and 265,085.06

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Solution

The fourth proportional to 549,209.54, 823,662.03 and 265,085.06 is: 397,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,209.54 : 823,662.03 = 265,085.06 : x
  2. Step 2: Convert to fraction form
    549,209.54/823,662.03 = 265,085.06/x
  3. Step 3: Cross multiply
    549,209.54x = 823,662.03 × 265,085.06
  4. Step 4: Simplify right side
    549,209.54x = 218,340,498,642.27
  5. Step 5: Solve for x
    x = 218,340,498,642.27/549,209.54
  6. Step 6: Final answer
    x = 397,554.09

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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.