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Finding the Fourth Proportional to 416,608.56, 574,878.72 and 232,813.20

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Solution

The fourth proportional to 416,608.56, 574,878.72 and 232,813.20 is: 321,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,608.56 : 574,878.72 = 232,813.20 : x
  2. Step 2: Convert to fraction form
    416,608.56/574,878.72 = 232,813.20/x
  3. Step 3: Cross multiply
    416,608.56x = 574,878.72 × 232,813.20
  4. Step 4: Simplify right side
    416,608.56x = 133,839,354,415.10
  5. Step 5: Solve for x
    x = 133,839,354,415.10/416,608.56
  6. Step 6: Final answer
    x = 321,259.25

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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.