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Finding the Fourth Proportional to 364,660, 503,248.08 and 205,684

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Solution

The fourth proportional to 364,660, 503,248.08 and 205,684 is: 283,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,660 : 503,248.08 = 205,684 : x
  2. Step 2: Convert to fraction form
    364,660/503,248.08 = 205,684/x
  3. Step 3: Cross multiply
    364,660x = 503,248.08 × 205,684
  4. Step 4: Simplify right side
    364,660x = 103,510,078,086.72
  5. Step 5: Solve for x
    x = 103,510,078,086.72/364,660
  6. Step 6: Final answer
    x = 283,853.67

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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.