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Finding the Fourth Proportional to 357,431.34, 535,989.55 and 167,945.61

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Solution

The fourth proportional to 357,431.34, 535,989.55 and 167,945.61 is: 251,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,431.34 : 535,989.55 = 167,945.61 : x
  2. Step 2: Convert to fraction form
    357,431.34/535,989.55 = 167,945.61/x
  3. Step 3: Cross multiply
    357,431.34x = 535,989.55 × 167,945.61
  4. Step 4: Simplify right side
    357,431.34x = 90,017,091,928.38
  5. Step 5: Solve for x
    x = 90,017,091,928.38/357,431.34
  6. Step 6: Final answer
    x = 251,844.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.