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Finding the Fourth Proportional to 513,122.40, 770,461.20 and 394,927.20

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Solution

The fourth proportional to 513,122.40, 770,461.20 and 394,927.20 is: 592,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,122.40 : 770,461.20 = 394,927.20 : x
  2. Step 2: Convert to fraction form
    513,122.40/770,461.20 = 394,927.20/x
  3. Step 3: Cross multiply
    513,122.40x = 770,461.20 × 394,927.20
  4. Step 4: Simplify right side
    513,122.40x = 304,276,084,424.64
  5. Step 5: Solve for x
    x = 304,276,084,424.64/513,122.40
  6. Step 6: Final answer
    x = 592,989.28

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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.