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Finding the Fourth Proportional to 314,402.51, 433,850.54 and 178,436.45

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Solution

The fourth proportional to 314,402.51, 433,850.54 and 178,436.45 is: 246,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,402.51 : 433,850.54 = 178,436.45 : x
  2. Step 2: Convert to fraction form
    314,402.51/433,850.54 = 178,436.45/x
  3. Step 3: Cross multiply
    314,402.51x = 433,850.54 × 178,436.45
  4. Step 4: Simplify right side
    314,402.51x = 77,414,747,126.75
  5. Step 5: Solve for x
    x = 77,414,747,126.75/314,402.51
  6. Step 6: Final answer
    x = 246,228.15

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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.