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Finding the Fourth Proportional to 317,886.48, 476,533.20 and 107,377.20

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Solution

The fourth proportional to 317,886.48, 476,533.20 and 107,377.20 is: 160,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,886.48 : 476,533.20 = 107,377.20 : x
  2. Step 2: Convert to fraction form
    317,886.48/476,533.20 = 107,377.20/x
  3. Step 3: Cross multiply
    317,886.48x = 476,533.20 × 107,377.20
  4. Step 4: Simplify right side
    317,886.48x = 51,168,800,723.04
  5. Step 5: Solve for x
    x = 51,168,800,723.04/317,886.48
  6. Step 6: Final answer
    x = 160,965.64

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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.