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Finding the Fourth Proportional to 530,464.14, 795,862.22 and 341,138.30

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Solution

The fourth proportional to 530,464.14, 795,862.22 and 341,138.30 is: 511,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,464.14 : 795,862.22 = 341,138.30 : x
  2. Step 2: Convert to fraction form
    530,464.14/795,862.22 = 341,138.30/x
  3. Step 3: Cross multiply
    530,464.14x = 795,862.22 × 341,138.30
  4. Step 4: Simplify right side
    530,464.14x = 271,499,079,080.02
  5. Step 5: Solve for x
    x = 271,499,079,080.02/530,464.14
  6. Step 6: Final answer
    x = 511,814.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.