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Finding the Fourth Proportional to 529,675.20, 794,512.80 and 319,204.80

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Solution

The fourth proportional to 529,675.20, 794,512.80 and 319,204.80 is: 478,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,675.20 : 794,512.80 = 319,204.80 : x
  2. Step 2: Convert to fraction form
    529,675.20/794,512.80 = 319,204.80/x
  3. Step 3: Cross multiply
    529,675.20x = 794,512.80 × 319,204.80
  4. Step 4: Simplify right side
    529,675.20x = 253,612,299,421.44
  5. Step 5: Solve for x
    x = 253,612,299,421.44/529,675.20
  6. Step 6: Final answer
    x = 478,807.20

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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.