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Finding the Fourth Proportional to 416,480.16, 574,732.08 and 232,720.32

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Solution

The fourth proportional to 416,480.16, 574,732.08 and 232,720.32 is: 321,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,480.16 : 574,732.08 = 232,720.32 : x
  2. Step 2: Convert to fraction form
    416,480.16/574,732.08 = 232,720.32/x
  3. Step 3: Cross multiply
    416,480.16x = 574,732.08 × 232,720.32
  4. Step 4: Simplify right side
    416,480.16x = 133,751,833,571.87
  5. Step 5: Solve for x
    x = 133,751,833,571.87/416,480.16
  6. Step 6: Final answer
    x = 321,148.15

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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.