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Finding the Fourth Proportional to 497,150.86, 686,048.88 and 303,882.17

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Solution

The fourth proportional to 497,150.86, 686,048.88 and 303,882.17 is: 419,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,150.86 : 686,048.88 = 303,882.17 : x
  2. Step 2: Convert to fraction form
    497,150.86/686,048.88 = 303,882.17/x
  3. Step 3: Cross multiply
    497,150.86x = 686,048.88 × 303,882.17
  4. Step 4: Simplify right side
    497,150.86x = 208,478,020,847.38
  5. Step 5: Solve for x
    x = 208,478,020,847.38/497,150.86
  6. Step 6: Final answer
    x = 419,345.59

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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.