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Finding the Fourth Proportional to 314,432.43, 433,902.45 and 171,192.16

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Solution

The fourth proportional to 314,432.43, 433,902.45 and 171,192.16 is: 236,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,432.43 : 433,902.45 = 171,192.16 : x
  2. Step 2: Convert to fraction form
    314,432.43/433,902.45 = 171,192.16/x
  3. Step 3: Cross multiply
    314,432.43x = 433,902.45 × 171,192.16
  4. Step 4: Simplify right side
    314,432.43x = 74,280,697,644.79
  5. Step 5: Solve for x
    x = 74,280,697,644.79/314,432.43
  6. Step 6: Final answer
    x = 236,237.39

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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.