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Finding the Fourth Proportional to 646,312.14, 969,911.01 and 225,587.88

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Solution

The fourth proportional to 646,312.14, 969,911.01 and 225,587.88 is: 338,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,312.14 : 969,911.01 = 225,587.88 : x
  2. Step 2: Convert to fraction form
    646,312.14/969,911.01 = 225,587.88/x
  3. Step 3: Cross multiply
    646,312.14x = 969,911.01 × 225,587.88
  4. Step 4: Simplify right side
    646,312.14x = 218,800,168,534.56
  5. Step 5: Solve for x
    x = 218,800,168,534.56/646,312.14
  6. Step 6: Final answer
    x = 338,536.37

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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.