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Finding the Fourth Proportional to 314,697.99, 434,444.05 and 213,259.39

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Solution

The fourth proportional to 314,697.99, 434,444.05 and 213,259.39 is: 294,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,697.99 : 434,444.05 = 213,259.39 : x
  2. Step 2: Convert to fraction form
    314,697.99/434,444.05 = 213,259.39/x
  3. Step 3: Cross multiply
    314,697.99x = 434,444.05 × 213,259.39
  4. Step 4: Simplify right side
    314,697.99x = 92,649,273,092.13
  5. Step 5: Solve for x
    x = 92,649,273,092.13/314,697.99
  6. Step 6: Final answer
    x = 294,406.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.