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Finding the Fourth Proportional to 317,361.48, 476,043.86 and 107,001.24

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Solution

The fourth proportional to 317,361.48, 476,043.86 and 107,001.24 is: 160,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,361.48 : 476,043.86 = 107,001.24 : x
  2. Step 2: Convert to fraction form
    317,361.48/476,043.86 = 107,001.24/x
  3. Step 3: Cross multiply
    317,361.48x = 476,043.86 × 107,001.24
  4. Step 4: Simplify right side
    317,361.48x = 50,937,283,314.39
  5. Step 5: Solve for x
    x = 50,937,283,314.39/317,361.48
  6. Step 6: Final answer
    x = 160,502.41

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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.