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Finding the Fourth Proportional to 497,977.62, 687,013.28 and 306,658.86

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Solution

The fourth proportional to 497,977.62, 687,013.28 and 306,658.86 is: 423,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,977.62 : 687,013.28 = 306,658.86 : x
  2. Step 2: Convert to fraction form
    497,977.62/687,013.28 = 306,658.86/x
  3. Step 3: Cross multiply
    497,977.62x = 687,013.28 × 306,658.86
  4. Step 4: Simplify right side
    497,977.62x = 210,678,709,249.66
  5. Step 5: Solve for x
    x = 210,678,709,249.66/497,977.62
  6. Step 6: Final answer
    x = 423,068.63

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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.