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Finding the Fourth Proportional to 314,185.31, 471,350.87 and 103,810.49

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Solution

The fourth proportional to 314,185.31, 471,350.87 and 103,810.49 is: 155,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,185.31 : 471,350.87 = 103,810.49 : x
  2. Step 2: Convert to fraction form
    314,185.31/471,350.87 = 103,810.49/x
  3. Step 3: Cross multiply
    314,185.31x = 471,350.87 × 103,810.49
  4. Step 4: Simplify right side
    314,185.31x = 48,931,164,057.67
  5. Step 5: Solve for x
    x = 48,931,164,057.67/314,185.31
  6. Step 6: Final answer
    x = 155,739.82

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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.