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Finding the Fourth Proportional to 310,177.47, 465,264.50 and 120,769.60

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Solution

The fourth proportional to 310,177.47, 465,264.50 and 120,769.60 is: 181,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,177.47 : 465,264.50 = 120,769.60 : x
  2. Step 2: Convert to fraction form
    310,177.47/465,264.50 = 120,769.60/x
  3. Step 3: Cross multiply
    310,177.47x = 465,264.50 × 120,769.60
  4. Step 4: Simplify right side
    310,177.47x = 56,189,805,792.19
  5. Step 5: Solve for x
    x = 56,189,805,792.19/310,177.47
  6. Step 6: Final answer
    x = 181,153.73

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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.