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Finding the Fourth Proportional to 294,687.93, 406,718.10 and 173,858.75

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Solution

The fourth proportional to 294,687.93, 406,718.10 and 173,858.75 is: 239,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,687.93 : 406,718.10 = 173,858.75 : x
  2. Step 2: Convert to fraction form
    294,687.93/406,718.10 = 173,858.75/x
  3. Step 3: Cross multiply
    294,687.93x = 406,718.10 × 173,858.75
  4. Step 4: Simplify right side
    294,687.93x = 70,711,500,468.38
  5. Step 5: Solve for x
    x = 70,711,500,468.38/294,687.93
  6. Step 6: Final answer
    x = 239,953.84

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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.