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Finding the Fourth Proportional to 317,534.48, 476,256.84 and 107,144.72

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Solution

The fourth proportional to 317,534.48, 476,256.84 and 107,144.72 is: 160,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,534.48 : 476,256.84 = 107,144.72 : x
  2. Step 2: Convert to fraction form
    317,534.48/476,256.84 = 107,144.72/x
  3. Step 3: Cross multiply
    317,534.48x = 476,256.84 × 107,144.72
  4. Step 4: Simplify right side
    317,534.48x = 51,028,405,769.88
  5. Step 5: Solve for x
    x = 51,028,405,769.88/317,534.48
  6. Step 6: Final answer
    x = 160,701.94

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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.