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Finding the Fourth Proportional to 512,295.03, 707,422.14 and 319,034.60

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Solution

The fourth proportional to 512,295.03, 707,422.14 and 319,034.60 is: 440,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,295.03 : 707,422.14 = 319,034.60 : x
  2. Step 2: Convert to fraction form
    512,295.03/707,422.14 = 319,034.60/x
  3. Step 3: Cross multiply
    512,295.03x = 707,422.14 × 319,034.60
  4. Step 4: Simplify right side
    512,295.03x = 225,692,135,928.93
  5. Step 5: Solve for x
    x = 225,692,135,928.93/512,295.03
  6. Step 6: Final answer
    x = 440,551.10

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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.