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Finding the Fourth Proportional to 419,812.60, 629,718.90 and 402,316.60

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Solution

The fourth proportional to 419,812.60, 629,718.90 and 402,316.60 is: 603,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,812.60 : 629,718.90 = 402,316.60 : x
  2. Step 2: Convert to fraction form
    419,812.60/629,718.90 = 402,316.60/x
  3. Step 3: Cross multiply
    419,812.60x = 629,718.90 × 402,316.60
  4. Step 4: Simplify right side
    419,812.60x = 253,346,366,803.74
  5. Step 5: Solve for x
    x = 253,346,366,803.74/419,812.60
  6. Step 6: Final answer
    x = 603,474.90

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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.