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Finding the Fourth Proportional to 500,523.27, 750,858.14 and 145,491.18

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Solution

The fourth proportional to 500,523.27, 750,858.14 and 145,491.18 is: 218,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,523.27 : 750,858.14 = 145,491.18 : x
  2. Step 2: Convert to fraction form
    500,523.27/750,858.14 = 145,491.18/x
  3. Step 3: Cross multiply
    500,523.27x = 750,858.14 × 145,491.18
  4. Step 4: Simplify right side
    500,523.27x = 109,243,236,801.21
  5. Step 5: Solve for x
    x = 109,243,236,801.21/500,523.27
  6. Step 6: Final answer
    x = 218,258.06

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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.