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Finding the Fourth Proportional to 357,314.17, 493,097.09 and 193,971.94

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Solution

The fourth proportional to 357,314.17, 493,097.09 and 193,971.94 is: 267,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,314.17 : 493,097.09 = 193,971.94 : x
  2. Step 2: Convert to fraction form
    357,314.17/493,097.09 = 193,971.94/x
  3. Step 3: Cross multiply
    357,314.17x = 493,097.09 × 193,971.94
  4. Step 4: Simplify right side
    357,314.17x = 95,646,998,407.84
  5. Step 5: Solve for x
    x = 95,646,998,407.84/357,314.17
  6. Step 6: Final answer
    x = 267,683.20

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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.