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Finding the Fourth Proportional to 599,668.06, 827,461.92 and 385,098.76

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Solution

The fourth proportional to 599,668.06, 827,461.92 and 385,098.76 is: 531,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,668.06 : 827,461.92 = 385,098.76 : x
  2. Step 2: Convert to fraction form
    599,668.06/827,461.92 = 385,098.76/x
  3. Step 3: Cross multiply
    599,668.06x = 827,461.92 × 385,098.76
  4. Step 4: Simplify right side
    599,668.06x = 318,654,559,339.22
  5. Step 5: Solve for x
    x = 318,654,559,339.22/599,668.06
  6. Step 6: Final answer
    x = 531,384.91

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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.