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Finding the Fourth Proportional to 356,837.50, 492,435.75 and 197,861.50

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Solution

The fourth proportional to 356,837.50, 492,435.75 and 197,861.50 is: 273,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,837.50 : 492,435.75 = 197,861.50 : x
  2. Step 2: Convert to fraction form
    356,837.50/492,435.75 = 197,861.50/x
  3. Step 3: Cross multiply
    356,837.50x = 492,435.75 × 197,861.50
  4. Step 4: Simplify right side
    356,837.50x = 97,434,076,148.63
  5. Step 5: Solve for x
    x = 97,434,076,148.63/356,837.50
  6. Step 6: Final answer
    x = 273,048.87

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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.