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Finding the Fourth Proportional to 496,714.78, 684,646.56 and 351,332.74

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Solution

The fourth proportional to 496,714.78, 684,646.56 and 351,332.74 is: 484,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,714.78 : 684,646.56 = 351,332.74 : x
  2. Step 2: Convert to fraction form
    496,714.78/684,646.56 = 351,332.74/x
  3. Step 3: Cross multiply
    496,714.78x = 684,646.56 × 351,332.74
  4. Step 4: Simplify right side
    496,714.78x = 240,538,751,856.37
  5. Step 5: Solve for x
    x = 240,538,751,856.37/496,714.78
  6. Step 6: Final answer
    x = 484,259.30

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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.