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Finding the Fourth Proportional to 357,772.34, 493,731.59 and 204,809.91

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Solution

The fourth proportional to 357,772.34, 493,731.59 and 204,809.91 is: 282,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,772.34 : 493,731.59 = 204,809.91 : x
  2. Step 2: Convert to fraction form
    357,772.34/493,731.59 = 204,809.91/x
  3. Step 3: Cross multiply
    357,772.34x = 493,731.59 × 204,809.91
  4. Step 4: Simplify right side
    357,772.34x = 101,121,121,488.01
  5. Step 5: Solve for x
    x = 101,121,121,488.01/357,772.34
  6. Step 6: Final answer
    x = 282,640.97

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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.