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Finding the Fourth Proportional to 320,808.84, 442,669.86 and 177,568.53

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Solution

The fourth proportional to 320,808.84, 442,669.86 and 177,568.53 is: 245,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,808.84 : 442,669.86 = 177,568.53 : x
  2. Step 2: Convert to fraction form
    320,808.84/442,669.86 = 177,568.53/x
  3. Step 3: Cross multiply
    320,808.84x = 442,669.86 × 177,568.53
  4. Step 4: Simplify right side
    320,808.84x = 78,604,236,315.51
  5. Step 5: Solve for x
    x = 78,604,236,315.51/320,808.84
  6. Step 6: Final answer
    x = 245,018.92

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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.