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Finding the Fourth Proportional to 448,096.86, 618,387.67 and 257,145.18

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Solution

The fourth proportional to 448,096.86, 618,387.67 and 257,145.18 is: 354,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,096.86 : 618,387.67 = 257,145.18 : x
  2. Step 2: Convert to fraction form
    448,096.86/618,387.67 = 257,145.18/x
  3. Step 3: Cross multiply
    448,096.86x = 618,387.67 × 257,145.18
  4. Step 4: Simplify right side
    448,096.86x = 159,015,408,711.93
  5. Step 5: Solve for x
    x = 159,015,408,711.93/448,096.86
  6. Step 6: Final answer
    x = 354,868.38

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Why These Related Problems?

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