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Finding the Fourth Proportional to 317,244, 475,843.72 and 148,801.28

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Solution

The fourth proportional to 317,244, 475,843.72 and 148,801.28 is: 223,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,244 : 475,843.72 = 148,801.28 : x
  2. Step 2: Convert to fraction form
    317,244/475,843.72 = 148,801.28/x
  3. Step 3: Cross multiply
    317,244x = 475,843.72 × 148,801.28
  4. Step 4: Simplify right side
    317,244x = 70,806,154,615.96
  5. Step 5: Solve for x
    x = 70,806,154,615.96/317,244
  6. Step 6: Final answer
    x = 223,191.47

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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.