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Finding the Fourth Proportional to 609,780.50, 841,497.09 and 341,508.50

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Solution

The fourth proportional to 609,780.50, 841,497.09 and 341,508.50 is: 471,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,780.50 : 841,497.09 = 341,508.50 : x
  2. Step 2: Convert to fraction form
    609,780.50/841,497.09 = 341,508.50/x
  3. Step 3: Cross multiply
    609,780.50x = 841,497.09 × 341,508.50
  4. Step 4: Simplify right side
    609,780.50x = 287,378,408,960.27
  5. Step 5: Solve for x
    x = 287,378,408,960.27/609,780.50
  6. Step 6: Final answer
    x = 471,281.73

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Why These Related Problems?

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