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Finding the Fourth Proportional to 507,796.24, 700,759.38 and 281,441.92

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Solution

The fourth proportional to 507,796.24, 700,759.38 and 281,441.92 is: 388,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,796.24 : 700,759.38 = 281,441.92 : x
  2. Step 2: Convert to fraction form
    507,796.24/700,759.38 = 281,441.92/x
  3. Step 3: Cross multiply
    507,796.24x = 700,759.38 × 281,441.92
  4. Step 4: Simplify right side
    507,796.24x = 197,223,065,365.21
  5. Step 5: Solve for x
    x = 197,223,065,365.21/507,796.24
  6. Step 6: Final answer
    x = 388,390.16

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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.