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Finding the Fourth Proportional to 541,343.96, 811,646.88 and 274,590.10

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Solution

The fourth proportional to 541,343.96, 811,646.88 and 274,590.10 is: 411,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,343.96 : 811,646.88 = 274,590.10 : x
  2. Step 2: Convert to fraction form
    541,343.96/811,646.88 = 274,590.10/x
  3. Step 3: Cross multiply
    541,343.96x = 811,646.88 × 274,590.10
  4. Step 4: Simplify right side
    541,343.96x = 222,870,197,943.89
  5. Step 5: Solve for x
    x = 222,870,197,943.89/541,343.96
  6. Step 6: Final answer
    x = 411,697.95

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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.