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Finding the Fourth Proportional to 320,823.12, 442,673.16 and 201,522

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Solution

The fourth proportional to 320,823.12, 442,673.16 and 201,522 is: 278,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,823.12 : 442,673.16 = 201,522 : x
  2. Step 2: Convert to fraction form
    320,823.12/442,673.16 = 201,522/x
  3. Step 3: Cross multiply
    320,823.12x = 442,673.16 × 201,522
  4. Step 4: Simplify right side
    320,823.12x = 89,208,380,549.52
  5. Step 5: Solve for x
    x = 89,208,380,549.52/320,823.12
  6. Step 6: Final answer
    x = 278,060.95

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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.