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Finding the Fourth Proportional to 520,234.20, 780,351.30 and 402,136.20

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Solution

The fourth proportional to 520,234.20, 780,351.30 and 402,136.20 is: 603,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,234.20 : 780,351.30 = 402,136.20 : x
  2. Step 2: Convert to fraction form
    520,234.20/780,351.30 = 402,136.20/x
  3. Step 3: Cross multiply
    520,234.20x = 780,351.30 × 402,136.20
  4. Step 4: Simplify right side
    520,234.20x = 313,807,506,447.06
  5. Step 5: Solve for x
    x = 313,807,506,447.06/520,234.20
  6. Step 6: Final answer
    x = 603,204.30

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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.