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Finding the Fourth Proportional to 295,005.86, 407,101.33 and 180,284.05

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Solution

The fourth proportional to 295,005.86, 407,101.33 and 180,284.05 is: 248,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,005.86 : 407,101.33 = 180,284.05 : x
  2. Step 2: Convert to fraction form
    295,005.86/407,101.33 = 180,284.05/x
  3. Step 3: Cross multiply
    295,005.86x = 407,101.33 × 180,284.05
  4. Step 4: Simplify right side
    295,005.86x = 73,393,876,532.79
  5. Step 5: Solve for x
    x = 73,393,876,532.79/295,005.86
  6. Step 6: Final answer
    x = 248,787.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.