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Finding the Fourth Proportional to 294,690.93, 406,722.24 and 173,861.75

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Solution

The fourth proportional to 294,690.93, 406,722.24 and 173,861.75 is: 239,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,690.93 : 406,722.24 = 173,861.75 : x
  2. Step 2: Convert to fraction form
    294,690.93/406,722.24 = 173,861.75/x
  3. Step 3: Cross multiply
    294,690.93x = 406,722.24 × 173,861.75
  4. Step 4: Simplify right side
    294,690.93x = 70,713,440,410.32
  5. Step 5: Solve for x
    x = 70,713,440,410.32/294,690.93
  6. Step 6: Final answer
    x = 239,957.98

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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.