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Finding the Fourth Proportional to 174,379, 261,570.90 and 49,720

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Solution

The fourth proportional to 174,379, 261,570.90 and 49,720 is: 74,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,379 : 261,570.90 = 49,720 : x
  2. Step 2: Convert to fraction form
    174,379/261,570.90 = 49,720/x
  3. Step 3: Cross multiply
    174,379x = 261,570.90 × 49,720
  4. Step 4: Simplify right side
    174,379x = 13,005,305,148
  5. Step 5: Solve for x
    x = 13,005,305,148/174,379
  6. Step 6: Final answer
    x = 74,580.68

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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.