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Finding the Fourth Proportional to 517,785.69, 714,670.09 and 299,959.16

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Solution

The fourth proportional to 517,785.69, 714,670.09 and 299,959.16 is: 414,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,785.69 : 714,670.09 = 299,959.16 : x
  2. Step 2: Convert to fraction form
    517,785.69/714,670.09 = 299,959.16/x
  3. Step 3: Cross multiply
    517,785.69x = 714,670.09 × 299,959.16
  4. Step 4: Simplify right side
    517,785.69x = 214,371,840,910.30
  5. Step 5: Solve for x
    x = 214,371,840,910.30/517,785.69
  6. Step 6: Final answer
    x = 414,016.54

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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.