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Finding the Fourth Proportional to 529,668.72, 794,541.96 and 214,118.64

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Solution

The fourth proportional to 529,668.72, 794,541.96 and 214,118.64 is: 321,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,668.72 : 794,541.96 = 214,118.64 : x
  2. Step 2: Convert to fraction form
    529,668.72/794,541.96 = 214,118.64/x
  3. Step 3: Cross multiply
    529,668.72x = 794,541.96 × 214,118.64
  4. Step 4: Simplify right side
    529,668.72x = 170,126,243,898.13
  5. Step 5: Solve for x
    x = 170,126,243,898.13/529,668.72
  6. Step 6: Final answer
    x = 321,193.68

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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.