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Finding the Fourth Proportional to 534,188.91, 801,675.40 and 430,262.67

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Solution

The fourth proportional to 534,188.91, 801,675.40 and 430,262.67 is: 645,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,188.91 : 801,675.40 = 430,262.67 : x
  2. Step 2: Convert to fraction form
    534,188.91/801,675.40 = 430,262.67/x
  3. Step 3: Cross multiply
    534,188.91x = 801,675.40 × 430,262.67
  4. Step 4: Simplify right side
    534,188.91x = 344,930,998,077.32
  5. Step 5: Solve for x
    x = 344,930,998,077.32/534,188.91
  6. Step 6: Final answer
    x = 645,709.77

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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.