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Finding the Fourth Proportional to 317,044.40, 475,268.88 and 106,535.12

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Solution

The fourth proportional to 317,044.40, 475,268.88 and 106,535.12 is: 159,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,044.40 : 475,268.88 = 106,535.12 : x
  2. Step 2: Convert to fraction form
    317,044.40/475,268.88 = 106,535.12/x
  3. Step 3: Cross multiply
    317,044.40x = 475,268.88 × 106,535.12
  4. Step 4: Simplify right side
    317,044.40x = 50,632,827,163.07
  5. Step 5: Solve for x
    x = 50,632,827,163.07/317,044.40
  6. Step 6: Final answer
    x = 159,702.64

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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.