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Finding the Fourth Proportional to 415,749.29, 573,733.87 and 224,762.63

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Solution

The fourth proportional to 415,749.29, 573,733.87 and 224,762.63 is: 310,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,749.29 : 573,733.87 = 224,762.63 : x
  2. Step 2: Convert to fraction form
    415,749.29/573,733.87 = 224,762.63/x
  3. Step 3: Cross multiply
    415,749.29x = 573,733.87 × 224,762.63
  4. Step 4: Simplify right side
    415,749.29x = 128,953,930,110.70
  5. Step 5: Solve for x
    x = 128,953,930,110.70/415,749.29
  6. Step 6: Final answer
    x = 310,172.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.