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Finding the Fourth Proportional to 567,148.86, 850,807.84 and 202,382.05

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Solution

The fourth proportional to 567,148.86, 850,807.84 and 202,382.05 is: 303,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,148.86 : 850,807.84 = 202,382.05 : x
  2. Step 2: Convert to fraction form
    567,148.86/850,807.84 = 202,382.05/x
  3. Step 3: Cross multiply
    567,148.86x = 850,807.84 × 202,382.05
  4. Step 4: Simplify right side
    567,148.86x = 172,188,234,815.27
  5. Step 5: Solve for x
    x = 172,188,234,815.27/567,148.86
  6. Step 6: Final answer
    x = 303,603.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.