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Finding the Fourth Proportional to 314,669.94, 434,229.42 and 178,685.94

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Solution

The fourth proportional to 314,669.94, 434,229.42 and 178,685.94 is: 246,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,669.94 : 434,229.42 = 178,685.94 : x
  2. Step 2: Convert to fraction form
    314,669.94/434,229.42 = 178,685.94/x
  3. Step 3: Cross multiply
    314,669.94x = 434,229.42 × 178,685.94
  4. Step 4: Simplify right side
    314,669.94x = 77,590,692,088.35
  5. Step 5: Solve for x
    x = 77,590,692,088.35/314,669.94
  6. Step 6: Final answer
    x = 246,578.02

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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.