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Finding the Fourth Proportional to 506,606.82, 759,629.43 and 207,297.24

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Solution

The fourth proportional to 506,606.82, 759,629.43 and 207,297.24 is: 310,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,606.82 : 759,629.43 = 207,297.24 : x
  2. Step 2: Convert to fraction form
    506,606.82/759,629.43 = 207,297.24/x
  3. Step 3: Cross multiply
    506,606.82x = 759,629.43 × 207,297.24
  4. Step 4: Simplify right side
    506,606.82x = 157,469,084,261.77
  5. Step 5: Solve for x
    x = 157,469,084,261.77/506,606.82
  6. Step 6: Final answer
    x = 310,830.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.