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Finding the Fourth Proportional to 357,536.35, 493,415.67 and 204,622.54

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Solution

The fourth proportional to 357,536.35, 493,415.67 and 204,622.54 is: 282,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,536.35 : 493,415.67 = 204,622.54 : x
  2. Step 2: Convert to fraction form
    357,536.35/493,415.67 = 204,622.54/x
  3. Step 3: Cross multiply
    357,536.35x = 493,415.67 × 204,622.54
  4. Step 4: Simplify right side
    357,536.35x = 100,963,967,671.20
  5. Step 5: Solve for x
    x = 100,963,967,671.20/357,536.35
  6. Step 6: Final answer
    x = 282,387.98

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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.