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Finding the Fourth Proportional to 529,010.76, 792,973.23 and 209,033.06

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Solution

The fourth proportional to 529,010.76, 792,973.23 and 209,033.06 is: 313,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,010.76 : 792,973.23 = 209,033.06 : x
  2. Step 2: Convert to fraction form
    529,010.76/792,973.23 = 209,033.06/x
  3. Step 3: Cross multiply
    529,010.76x = 792,973.23 × 209,033.06
  4. Step 4: Simplify right side
    529,010.76x = 165,757,616,016.24
  5. Step 5: Solve for x
    x = 165,757,616,016.24/529,010.76
  6. Step 6: Final answer
    x = 313,335.05

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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.