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Finding the Fourth Proportional to 513,809.40, 770,714.10 and 492,814.20

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Solution

The fourth proportional to 513,809.40, 770,714.10 and 492,814.20 is: 739,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,809.40 : 770,714.10 = 492,814.20 : x
  2. Step 2: Convert to fraction form
    513,809.40/770,714.10 = 492,814.20/x
  3. Step 3: Cross multiply
    513,809.40x = 770,714.10 × 492,814.20
  4. Step 4: Simplify right side
    513,809.40x = 379,818,852,620.22
  5. Step 5: Solve for x
    x = 379,818,852,620.22/513,809.40
  6. Step 6: Final answer
    x = 739,221.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.