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Finding the Fourth Proportional to 318,746.66, 475,787.97 and 280,913.81

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Solution

The fourth proportional to 318,746.66, 475,787.97 and 280,913.81 is: 419,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,746.66 : 475,787.97 = 280,913.81 : x
  2. Step 2: Convert to fraction form
    318,746.66/475,787.97 = 280,913.81/x
  3. Step 3: Cross multiply
    318,746.66x = 475,787.97 × 280,913.81
  4. Step 4: Simplify right side
    318,746.66x = 133,655,409,025.93
  5. Step 5: Solve for x
    x = 133,655,409,025.93/318,746.66
  6. Step 6: Final answer
    x = 419,315.49

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Why These Related Problems?

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