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Finding the Fourth Proportional to 320,895.68, 442,839.52 and 177,658.08

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Solution

The fourth proportional to 320,895.68, 442,839.52 and 177,658.08 is: 245,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,895.68 : 442,839.52 = 177,658.08 : x
  2. Step 2: Convert to fraction form
    320,895.68/442,839.52 = 177,658.08/x
  3. Step 3: Cross multiply
    320,895.68x = 442,839.52 × 177,658.08
  4. Step 4: Simplify right side
    320,895.68x = 78,674,018,871.32
  5. Step 5: Solve for x
    x = 78,674,018,871.32/320,895.68
  6. Step 6: Final answer
    x = 245,170.08

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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.