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Finding the Fourth Proportional to 403,361.90, 603,730.65 and 314,132.30

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Solution

The fourth proportional to 403,361.90, 603,730.65 and 314,132.30 is: 470,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,361.90 : 603,730.65 = 314,132.30 : x
  2. Step 2: Convert to fraction form
    403,361.90/603,730.65 = 314,132.30/x
  3. Step 3: Cross multiply
    403,361.90x = 603,730.65 × 314,132.30
  4. Step 4: Simplify right side
    403,361.90x = 189,651,297,665.00
  5. Step 5: Solve for x
    x = 189,651,297,665.00/403,361.90
  6. Step 6: Final answer
    x = 470,176.53

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Why These Related Problems?

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