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Finding the Fourth Proportional to 502,850, 693,933 and 301,710.80

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Solution

The fourth proportional to 502,850, 693,933 and 301,710.80 is: 416,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,850 : 693,933 = 301,710.80 : x
  2. Step 2: Convert to fraction form
    502,850/693,933 = 301,710.80/x
  3. Step 3: Cross multiply
    502,850x = 693,933 × 301,710.80
  4. Step 4: Simplify right side
    502,850x = 209,367,080,576.40
  5. Step 5: Solve for x
    x = 209,367,080,576.40/502,850
  6. Step 6: Final answer
    x = 416,360.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.