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Finding the Fourth Proportional to 461,379, 636,741.90 and 260,213.88

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Solution

The fourth proportional to 461,379, 636,741.90 and 260,213.88 is: 359,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,379 : 636,741.90 = 260,213.88 : x
  2. Step 2: Convert to fraction form
    461,379/636,741.90 = 260,213.88/x
  3. Step 3: Cross multiply
    461,379x = 636,741.90 × 260,213.88
  4. Step 4: Simplify right side
    461,379x = 165,689,080,357.57
  5. Step 5: Solve for x
    x = 165,689,080,357.57/461,379
  6. Step 6: Final answer
    x = 359,117.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.