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Finding the Fourth Proportional to 357,747.32, 493,757.81 and 204,785.51

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Solution

The fourth proportional to 357,747.32, 493,757.81 and 204,785.51 is: 282,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,747.32 : 493,757.81 = 204,785.51 : x
  2. Step 2: Convert to fraction form
    357,747.32/493,757.81 = 204,785.51/x
  3. Step 3: Cross multiply
    357,747.32x = 493,757.81 × 204,785.51
  4. Step 4: Simplify right side
    357,747.32x = 101,114,443,913.41
  5. Step 5: Solve for x
    x = 101,114,443,913.41/357,747.32
  6. Step 6: Final answer
    x = 282,642.07

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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.