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Finding the Fourth Proportional to 524,764.40, 786,757.80 and 224,999.60

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Solution

The fourth proportional to 524,764.40, 786,757.80 and 224,999.60 is: 337,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,764.40 : 786,757.80 = 224,999.60 : x
  2. Step 2: Convert to fraction form
    524,764.40/786,757.80 = 224,999.60/x
  3. Step 3: Cross multiply
    524,764.40x = 786,757.80 × 224,999.60
  4. Step 4: Simplify right side
    524,764.40x = 177,020,190,296.88
  5. Step 5: Solve for x
    x = 177,020,190,296.88/524,764.40
  6. Step 6: Final answer
    x = 337,332.70

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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.