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Finding the Fourth Proportional to 416,807.10, 575,194.37 and 225,820.49

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Solution

The fourth proportional to 416,807.10, 575,194.37 and 225,820.49 is: 311,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,807.10 : 575,194.37 = 225,820.49 : x
  2. Step 2: Convert to fraction form
    416,807.10/575,194.37 = 225,820.49/x
  3. Step 3: Cross multiply
    416,807.10x = 575,194.37 × 225,820.49
  4. Step 4: Simplify right side
    416,807.10x = 129,890,670,473.57
  5. Step 5: Solve for x
    x = 129,890,670,473.57/416,807.10
  6. Step 6: Final answer
    x = 311,632.58

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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.