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Finding the Fourth Proportional to 294,174.72, 405,962.88 and 160,039.68

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Solution

The fourth proportional to 294,174.72, 405,962.88 and 160,039.68 is: 220,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,174.72 : 405,962.88 = 160,039.68 : x
  2. Step 2: Convert to fraction form
    294,174.72/405,962.88 = 160,039.68/x
  3. Step 3: Cross multiply
    294,174.72x = 405,962.88 × 160,039.68
  4. Step 4: Simplify right side
    294,174.72x = 64,970,169,407.08
  5. Step 5: Solve for x
    x = 64,970,169,407.08/294,174.72
  6. Step 6: Final answer
    x = 220,855.72

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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.