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Finding the Fourth Proportional to 416,645.31, 574,968.72 and 232,883.64

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Solution

The fourth proportional to 416,645.31, 574,968.72 and 232,883.64 is: 321,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,645.31 : 574,968.72 = 232,883.64 : x
  2. Step 2: Convert to fraction form
    416,645.31/574,968.72 = 232,883.64/x
  3. Step 3: Cross multiply
    416,645.31x = 574,968.72 × 232,883.64
  4. Step 4: Simplify right side
    416,645.31x = 133,900,808,399.74
  5. Step 5: Solve for x
    x = 133,900,808,399.74/416,645.31
  6. Step 6: Final answer
    x = 321,378.41

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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.