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Finding the Fourth Proportional to 475,092.69, 711,647.46 and 284,950.05

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Solution

The fourth proportional to 475,092.69, 711,647.46 and 284,950.05 is: 426,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,092.69 : 711,647.46 = 284,950.05 : x
  2. Step 2: Convert to fraction form
    475,092.69/711,647.46 = 284,950.05/x
  3. Step 3: Cross multiply
    475,092.69x = 711,647.46 × 284,950.05
  4. Step 4: Simplify right side
    475,092.69x = 202,783,979,309.37
  5. Step 5: Solve for x
    x = 202,783,979,309.37/475,092.69
  6. Step 6: Final answer
    x = 426,830.35

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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.