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Finding the Fourth Proportional to 357,770.18, 493,712.42 and 204,803.30

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Solution

The fourth proportional to 357,770.18, 493,712.42 and 204,803.30 is: 282,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,770.18 : 493,712.42 = 204,803.30 : x
  2. Step 2: Convert to fraction form
    357,770.18/493,712.42 = 204,803.30/x
  3. Step 3: Cross multiply
    357,770.18x = 493,712.42 × 204,803.30
  4. Step 4: Simplify right side
    357,770.18x = 101,113,933,077.25
  5. Step 5: Solve for x
    x = 101,113,933,077.25/357,770.18
  6. Step 6: Final answer
    x = 282,622.58

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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.