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Finding the Fourth Proportional to 631,184.88, 947,367.80 and 311,697.50

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Solution

The fourth proportional to 631,184.88, 947,367.80 and 311,697.50 is: 467,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,184.88 : 947,367.80 = 311,697.50 : x
  2. Step 2: Convert to fraction form
    631,184.88/947,367.80 = 311,697.50/x
  3. Step 3: Cross multiply
    631,184.88x = 947,367.80 × 311,697.50
  4. Step 4: Simplify right side
    631,184.88x = 295,292,176,796.28
  5. Step 5: Solve for x
    x = 295,292,176,796.28/631,184.88
  6. Step 6: Final answer
    x = 467,837.85

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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.