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Finding the Fourth Proportional to 357,764.32, 493,713.12 and 204,801.67

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Solution

The fourth proportional to 357,764.32, 493,713.12 and 204,801.67 is: 282,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,764.32 : 493,713.12 = 204,801.67 : x
  2. Step 2: Convert to fraction form
    357,764.32/493,713.12 = 204,801.67/x
  3. Step 3: Cross multiply
    357,764.32x = 493,713.12 × 204,801.67
  4. Step 4: Simplify right side
    357,764.32x = 101,113,271,476.91
  5. Step 5: Solve for x
    x = 101,113,271,476.91/357,764.32
  6. Step 6: Final answer
    x = 282,625.36

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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.