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Finding the Fourth Proportional to 417,193.57, 575,721.57 and 226,202.86

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Solution

The fourth proportional to 417,193.57, 575,721.57 and 226,202.86 is: 312,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,193.57 : 575,721.57 = 226,202.86 : x
  2. Step 2: Convert to fraction form
    417,193.57/575,721.57 = 226,202.86/x
  3. Step 3: Cross multiply
    417,193.57x = 575,721.57 × 226,202.86
  4. Step 4: Simplify right side
    417,193.57x = 130,229,865,697.69
  5. Step 5: Solve for x
    x = 130,229,865,697.69/417,193.57
  6. Step 6: Final answer
    x = 312,156.93

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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.