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Finding the Fourth Proportional to 374,647.74, 517,013.60 and 204,881.82

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Solution

The fourth proportional to 374,647.74, 517,013.60 and 204,881.82 is: 282,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,647.74 : 517,013.60 = 204,881.82 : x
  2. Step 2: Convert to fraction form
    374,647.74/517,013.60 = 204,881.82/x
  3. Step 3: Cross multiply
    374,647.74x = 517,013.60 × 204,881.82
  4. Step 4: Simplify right side
    374,647.74x = 105,926,686,308.34
  5. Step 5: Solve for x
    x = 105,926,686,308.34/374,647.74
  6. Step 6: Final answer
    x = 282,736.76

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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.