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Finding the Fourth Proportional to 417,112, 575,611.14 and 226,120.48

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Solution

The fourth proportional to 417,112, 575,611.14 and 226,120.48 is: 312,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,112 : 575,611.14 = 226,120.48 : x
  2. Step 2: Convert to fraction form
    417,112/575,611.14 = 226,120.48/x
  3. Step 3: Cross multiply
    417,112x = 575,611.14 × 226,120.48
  4. Step 4: Simplify right side
    417,112x = 130,157,467,270.15
  5. Step 5: Solve for x
    x = 130,157,467,270.15/417,112
  6. Step 6: Final answer
    x = 312,044.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.