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Finding the Fourth Proportional to 320,818.32, 442,698.98 and 191,731.12

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Solution

The fourth proportional to 320,818.32, 442,698.98 and 191,731.12 is: 264,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,818.32 : 442,698.98 = 191,731.12 : x
  2. Step 2: Convert to fraction form
    320,818.32/442,698.98 = 191,731.12/x
  3. Step 3: Cross multiply
    320,818.32x = 442,698.98 × 191,731.12
  4. Step 4: Simplify right side
    320,818.32x = 84,879,169,192.85
  5. Step 5: Solve for x
    x = 84,879,169,192.85/320,818.32
  6. Step 6: Final answer
    x = 264,570.83

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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.