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Finding the Fourth Proportional to 357,484.06, 493,122.10 and 214,161.10

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Solution

The fourth proportional to 357,484.06, 493,122.10 and 214,161.10 is: 295,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,484.06 : 493,122.10 = 214,161.10 : x
  2. Step 2: Convert to fraction form
    357,484.06/493,122.10 = 214,161.10/x
  3. Step 3: Cross multiply
    357,484.06x = 493,122.10 × 214,161.10
  4. Step 4: Simplify right side
    357,484.06x = 105,607,571,370.31
  5. Step 5: Solve for x
    x = 105,607,571,370.31/357,484.06
  6. Step 6: Final answer
    x = 295,418.97

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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.