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Finding the Fourth Proportional to 289,816.68, 399,484.92 and 228,462.84

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Solution

The fourth proportional to 289,816.68, 399,484.92 and 228,462.84 is: 314,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,816.68 : 399,484.92 = 228,462.84 : x
  2. Step 2: Convert to fraction form
    289,816.68/399,484.92 = 228,462.84/x
  3. Step 3: Cross multiply
    289,816.68x = 399,484.92 × 228,462.84
  4. Step 4: Simplify right side
    289,816.68x = 91,267,459,360.37
  5. Step 5: Solve for x
    x = 91,267,459,360.37/289,816.68
  6. Step 6: Final answer
    x = 314,914.45

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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.