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Finding the Fourth Proportional to 317,967.12, 476,921.52 and 107,580.96

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Solution

The fourth proportional to 317,967.12, 476,921.52 and 107,580.96 is: 161,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,967.12 : 476,921.52 = 107,580.96 : x
  2. Step 2: Convert to fraction form
    317,967.12/476,921.52 = 107,580.96/x
  3. Step 3: Cross multiply
    317,967.12x = 476,921.52 × 107,580.96
  4. Step 4: Simplify right side
    317,967.12x = 51,307,674,966.26
  5. Step 5: Solve for x
    x = 51,307,674,966.26/317,967.12
  6. Step 6: Final answer
    x = 161,361.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.