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Finding the Fourth Proportional to 523,898.40, 785,190.16 and 224,026.24

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Solution

The fourth proportional to 523,898.40, 785,190.16 and 224,026.24 is: 335,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,898.40 : 785,190.16 = 224,026.24 : x
  2. Step 2: Convert to fraction form
    523,898.40/785,190.16 = 224,026.24/x
  3. Step 3: Cross multiply
    523,898.40x = 785,190.16 × 224,026.24
  4. Step 4: Simplify right side
    523,898.40x = 175,903,199,229.80
  5. Step 5: Solve for x
    x = 175,903,199,229.80/523,898.40
  6. Step 6: Final answer
    x = 335,758.23

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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.