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Finding the Fourth Proportional to 383,666.72, 529,460.40 and 213,897.44

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Solution

The fourth proportional to 383,666.72, 529,460.40 and 213,897.44 is: 295,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,666.72 : 529,460.40 = 213,897.44 : x
  2. Step 2: Convert to fraction form
    383,666.72/529,460.40 = 213,897.44/x
  3. Step 3: Cross multiply
    383,666.72x = 529,460.40 × 213,897.44
  4. Step 4: Simplify right side
    383,666.72x = 113,250,224,141.38
  5. Step 5: Solve for x
    x = 113,250,224,141.38/383,666.72
  6. Step 6: Final answer
    x = 295,178.65

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Why These Related Problems?

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