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Finding the Fourth Proportional to 310,290.18, 465,426 and 85,664.33

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Solution

The fourth proportional to 310,290.18, 465,426 and 85,664.33 is: 128,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,290.18 : 465,426 = 85,664.33 : x
  2. Step 2: Convert to fraction form
    310,290.18/465,426 = 85,664.33/x
  3. Step 3: Cross multiply
    310,290.18x = 465,426 × 85,664.33
  4. Step 4: Simplify right side
    310,290.18x = 39,870,404,127.45
  5. Step 5: Solve for x
    x = 39,870,404,127.45/310,290.18
  6. Step 6: Final answer
    x = 128,493.93

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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.