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Finding the Fourth Proportional to 417,735.82, 626,615.88 and 102,192.63

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Solution

The fourth proportional to 417,735.82, 626,615.88 and 102,192.63 is: 153,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,735.82 : 626,615.88 = 102,192.63 : x
  2. Step 2: Convert to fraction form
    417,735.82/626,615.88 = 102,192.63/x
  3. Step 3: Cross multiply
    417,735.82x = 626,615.88 × 102,192.63
  4. Step 4: Simplify right side
    417,735.82x = 64,035,524,776.96
  5. Step 5: Solve for x
    x = 64,035,524,776.96/417,735.82
  6. Step 6: Final answer
    x = 153,291.92

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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.