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Finding the Fourth Proportional to 353,021.34, 487,167.16 and 202,147.50

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Solution

The fourth proportional to 353,021.34, 487,167.16 and 202,147.50 is: 278,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,021.34 : 487,167.16 = 202,147.50 : x
  2. Step 2: Convert to fraction form
    353,021.34/487,167.16 = 202,147.50/x
  3. Step 3: Cross multiply
    353,021.34x = 487,167.16 × 202,147.50
  4. Step 4: Simplify right side
    353,021.34x = 98,479,623,476.10
  5. Step 5: Solve for x
    x = 98,479,623,476.10/353,021.34
  6. Step 6: Final answer
    x = 278,962.24

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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.