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Finding the Fourth Proportional to 445,670.73, 614,970.36 and 284,620.05

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Solution

The fourth proportional to 445,670.73, 614,970.36 and 284,620.05 is: 392,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,670.73 : 614,970.36 = 284,620.05 : x
  2. Step 2: Convert to fraction form
    445,670.73/614,970.36 = 284,620.05/x
  3. Step 3: Cross multiply
    445,670.73x = 614,970.36 × 284,620.05
  4. Step 4: Simplify right side
    445,670.73x = 175,032,894,611.72
  5. Step 5: Solve for x
    x = 175,032,894,611.72/445,670.73
  6. Step 6: Final answer
    x = 392,740.39

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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.