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Finding the Fourth Proportional to 419,384.93, 628,455.31 and 308,032.61

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Solution

The fourth proportional to 419,384.93, 628,455.31 and 308,032.61 is: 461,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,384.93 : 628,455.31 = 308,032.61 : x
  2. Step 2: Convert to fraction form
    419,384.93/628,455.31 = 308,032.61/x
  3. Step 3: Cross multiply
    419,384.93x = 628,455.31 × 308,032.61
  4. Step 4: Simplify right side
    419,384.93x = 193,584,725,495.30
  5. Step 5: Solve for x
    x = 193,584,725,495.30/419,384.93
  6. Step 6: Final answer
    x = 461,592.00

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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.