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Finding the Fourth Proportional to 415,222.14, 573,006.57 and 224,235.54

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Solution

The fourth proportional to 415,222.14, 573,006.57 and 224,235.54 is: 309,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,222.14 : 573,006.57 = 224,235.54 : x
  2. Step 2: Convert to fraction form
    415,222.14/573,006.57 = 224,235.54/x
  3. Step 3: Cross multiply
    415,222.14x = 573,006.57 × 224,235.54
  4. Step 4: Simplify right side
    415,222.14x = 128,488,437,647.50
  5. Step 5: Solve for x
    x = 128,488,437,647.50/415,222.14
  6. Step 6: Final answer
    x = 309,445.05

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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.