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Finding the Fourth Proportional to 314,325.09, 433,704.38 and 303,523.74

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Solution

The fourth proportional to 314,325.09, 433,704.38 and 303,523.74 is: 418,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,325.09 : 433,704.38 = 303,523.74 : x
  2. Step 2: Convert to fraction form
    314,325.09/433,704.38 = 303,523.74/x
  3. Step 3: Cross multiply
    314,325.09x = 433,704.38 × 303,523.74
  4. Step 4: Simplify right side
    314,325.09x = 131,639,573,954.36
  5. Step 5: Solve for x
    x = 131,639,573,954.36/314,325.09
  6. Step 6: Final answer
    x = 418,800.72

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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.