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Finding the Fourth Proportional to 497,108.71, 685,791.80 and 335,905.03

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Solution

The fourth proportional to 497,108.71, 685,791.80 and 335,905.03 is: 463,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,108.71 : 685,791.80 = 335,905.03 : x
  2. Step 2: Convert to fraction form
    497,108.71/685,791.80 = 335,905.03/x
  3. Step 3: Cross multiply
    497,108.71x = 685,791.80 × 335,905.03
  4. Step 4: Simplify right side
    497,108.71x = 230,360,913,018.39
  5. Step 5: Solve for x
    x = 230,360,913,018.39/497,108.71
  6. Step 6: Final answer
    x = 463,401.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.