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Finding the Fourth Proportional to 419,821.40, 629,732.10 and 402,325.40

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Solution

The fourth proportional to 419,821.40, 629,732.10 and 402,325.40 is: 603,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,821.40 : 629,732.10 = 402,325.40 : x
  2. Step 2: Convert to fraction form
    419,821.40/629,732.10 = 402,325.40/x
  3. Step 3: Cross multiply
    419,821.40x = 629,732.10 × 402,325.40
  4. Step 4: Simplify right side
    419,821.40x = 253,357,219,025.34
  5. Step 5: Solve for x
    x = 253,357,219,025.34/419,821.40
  6. Step 6: Final answer
    x = 603,488.10

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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.