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Finding the Fourth Proportional to 368,833.23, 509,005.51 and 205,489.60

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Solution

The fourth proportional to 368,833.23, 509,005.51 and 205,489.60 is: 283,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,833.23 : 509,005.51 = 205,489.60 : x
  2. Step 2: Convert to fraction form
    368,833.23/509,005.51 = 205,489.60/x
  3. Step 3: Cross multiply
    368,833.23x = 509,005.51 × 205,489.60
  4. Step 4: Simplify right side
    368,833.23x = 104,595,336,861.46
  5. Step 5: Solve for x
    x = 104,595,336,861.46/368,833.23
  6. Step 6: Final answer
    x = 283,584.36

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1.5x scale

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.