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Finding the Fourth Proportional to 507,532.24, 700,366.92 and 281,164.24

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Solution

The fourth proportional to 507,532.24, 700,366.92 and 281,164.24 is: 387,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,532.24 : 700,366.92 = 281,164.24 : x
  2. Step 2: Convert to fraction form
    507,532.24/700,366.92 = 281,164.24/x
  3. Step 3: Cross multiply
    507,532.24x = 700,366.92 × 281,164.24
  4. Step 4: Simplify right side
    507,532.24x = 196,918,132,782.94
  5. Step 5: Solve for x
    x = 196,918,132,782.94/507,532.24
  6. Step 6: Final answer
    x = 387,991.38

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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.