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Finding the Fourth Proportional to 497,082.31, 685,973.55 and 270,727.81

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Solution

The fourth proportional to 497,082.31, 685,973.55 and 270,727.81 is: 373,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,082.31 : 685,973.55 = 270,727.81 : x
  2. Step 2: Convert to fraction form
    497,082.31/685,973.55 = 270,727.81/x
  3. Step 3: Cross multiply
    497,082.31x = 685,973.55 × 270,727.81
  4. Step 4: Simplify right side
    497,082.31x = 185,712,116,909.43
  5. Step 5: Solve for x
    x = 185,712,116,909.43/497,082.31
  6. Step 6: Final answer
    x = 373,604.36

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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.