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Finding the Fourth Proportional to 519,318.56, 716,714.16 and 304,467.68

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Solution

The fourth proportional to 519,318.56, 716,714.16 and 304,467.68 is: 420,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,318.56 : 716,714.16 = 304,467.68 : x
  2. Step 2: Convert to fraction form
    519,318.56/716,714.16 = 304,467.68/x
  3. Step 3: Cross multiply
    519,318.56x = 716,714.16 × 304,467.68
  4. Step 4: Simplify right side
    519,318.56x = 218,216,297,518.35
  5. Step 5: Solve for x
    x = 218,216,297,518.35/519,318.56
  6. Step 6: Final answer
    x = 420,197.38

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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.