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Finding the Fourth Proportional to 416,214.83, 574,380.56 and 225,232.32

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Solution

The fourth proportional to 416,214.83, 574,380.56 and 225,232.32 is: 310,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,214.83 : 574,380.56 = 225,232.32 : x
  2. Step 2: Convert to fraction form
    416,214.83/574,380.56 = 225,232.32/x
  3. Step 3: Cross multiply
    416,214.83x = 574,380.56 × 225,232.32
  4. Step 4: Simplify right side
    416,214.83x = 129,369,066,936.32
  5. Step 5: Solve for x
    x = 129,369,066,936.32/416,214.83
  6. Step 6: Final answer
    x = 310,822.82

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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.