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Finding the Fourth Proportional to 469,969.60, 704,954.40 and 310,537.30

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Solution

The fourth proportional to 469,969.60, 704,954.40 and 310,537.30 is: 465,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,969.60 : 704,954.40 = 310,537.30 : x
  2. Step 2: Convert to fraction form
    469,969.60/704,954.40 = 310,537.30/x
  3. Step 3: Cross multiply
    469,969.60x = 704,954.40 × 310,537.30
  4. Step 4: Simplify right side
    469,969.60x = 218,914,635,999.12
  5. Step 5: Solve for x
    x = 218,914,635,999.12/469,969.60
  6. Step 6: Final answer
    x = 465,805.95

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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.