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Finding the Fourth Proportional to 257,278.96, 384,444.17 and 196,152.99

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Solution

The fourth proportional to 257,278.96, 384,444.17 and 196,152.99 is: 293,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,278.96 : 384,444.17 = 196,152.99 : x
  2. Step 2: Convert to fraction form
    257,278.96/384,444.17 = 196,152.99/x
  3. Step 3: Cross multiply
    257,278.96x = 384,444.17 × 196,152.99
  4. Step 4: Simplify right side
    257,278.96x = 75,409,871,746.71
  5. Step 5: Solve for x
    x = 75,409,871,746.71/257,278.96
  6. Step 6: Final answer
    x = 293,105.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.