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Finding the Fourth Proportional to 417,161.64, 575,640.45 and 256,023.48

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Solution

The fourth proportional to 417,161.64, 575,640.45 and 256,023.48 is: 353,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,161.64 : 575,640.45 = 256,023.48 : x
  2. Step 2: Convert to fraction form
    417,161.64/575,640.45 = 256,023.48/x
  3. Step 3: Cross multiply
    417,161.64x = 575,640.45 × 256,023.48
  4. Step 4: Simplify right side
    417,161.64x = 147,377,471,237.77
  5. Step 5: Solve for x
    x = 147,377,471,237.77/417,161.64
  6. Step 6: Final answer
    x = 353,286.25

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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.