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Finding the Fourth Proportional to 310,098.10, 464,851.89 and 99,588.41

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Solution

The fourth proportional to 310,098.10, 464,851.89 and 99,588.41 is: 149,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,098.10 : 464,851.89 = 99,588.41 : x
  2. Step 2: Convert to fraction form
    310,098.10/464,851.89 = 99,588.41/x
  3. Step 3: Cross multiply
    310,098.10x = 464,851.89 × 99,588.41
  4. Step 4: Simplify right side
    310,098.10x = 46,293,860,610.59
  5. Step 5: Solve for x
    x = 46,293,860,610.59/310,098.10
  6. Step 6: Final answer
    x = 149,287.79

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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.