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Finding the Fourth Proportional to 298,199.51, 411,484.59 and 177,317.43

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Solution

The fourth proportional to 298,199.51, 411,484.59 and 177,317.43 is: 244,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,199.51 : 411,484.59 = 177,317.43 : x
  2. Step 2: Convert to fraction form
    298,199.51/411,484.59 = 177,317.43/x
  3. Step 3: Cross multiply
    298,199.51x = 411,484.59 × 177,317.43
  4. Step 4: Simplify right side
    298,199.51x = 72,963,391,455.41
  5. Step 5: Solve for x
    x = 72,963,391,455.41/298,199.51
  6. Step 6: Final answer
    x = 244,679.79

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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.