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Finding the Fourth Proportional to 417,743.82, 626,627.88 and 102,200.64

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Solution

The fourth proportional to 417,743.82, 626,627.88 and 102,200.64 is: 153,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,743.82 : 626,627.88 = 102,200.64 : x
  2. Step 2: Convert to fraction form
    417,743.82/626,627.88 = 102,200.64/x
  3. Step 3: Cross multiply
    417,743.82x = 626,627.88 × 102,200.64
  4. Step 4: Simplify right side
    417,743.82x = 64,041,770,377.84
  5. Step 5: Solve for x
    x = 64,041,770,377.84/417,743.82
  6. Step 6: Final answer
    x = 153,303.93

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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.