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Finding the Fourth Proportional to 394,891.40, 592,337.10 and 235,459.10

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Solution

The fourth proportional to 394,891.40, 592,337.10 and 235,459.10 is: 353,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,891.40 : 592,337.10 = 235,459.10 : x
  2. Step 2: Convert to fraction form
    394,891.40/592,337.10 = 235,459.10/x
  3. Step 3: Cross multiply
    394,891.40x = 592,337.10 × 235,459.10
  4. Step 4: Simplify right side
    394,891.40x = 139,471,160,462.61
  5. Step 5: Solve for x
    x = 139,471,160,462.61/394,891.40
  6. Step 6: Final answer
    x = 353,188.65

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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.