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Finding the Fourth Proportional to 314,278.34, 433,713.90 and 178,318.01

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Solution

The fourth proportional to 314,278.34, 433,713.90 and 178,318.01 is: 246,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,278.34 : 433,713.90 = 178,318.01 : x
  2. Step 2: Convert to fraction form
    314,278.34/433,713.90 = 178,318.01/x
  3. Step 3: Cross multiply
    314,278.34x = 433,713.90 × 178,318.01
  4. Step 4: Simplify right side
    314,278.34x = 77,338,999,557.34
  5. Step 5: Solve for x
    x = 77,338,999,557.34/314,278.34
  6. Step 6: Final answer
    x = 246,084.41

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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.