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Finding the Fourth Proportional to 347,000.70, 519,723.45 and 284,792.70

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Solution

The fourth proportional to 347,000.70, 519,723.45 and 284,792.70 is: 426,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,000.70 : 519,723.45 = 284,792.70 : x
  2. Step 2: Convert to fraction form
    347,000.70/519,723.45 = 284,792.70/x
  3. Step 3: Cross multiply
    347,000.70x = 519,723.45 × 284,792.70
  4. Step 4: Simplify right side
    347,000.70x = 148,013,444,578.82
  5. Step 5: Solve for x
    x = 148,013,444,578.82/347,000.70
  6. Step 6: Final answer
    x = 426,550.85

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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.