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Finding the Fourth Proportional to 945,435, 1,418,164.85 and 314,348.81

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Solution

The fourth proportional to 945,435, 1,418,164.85 and 314,348.81 is: 471,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,435 : 1,418,164.85 = 314,348.81 : x
  2. Step 2: Convert to fraction form
    945,435/1,418,164.85 = 314,348.81/x
  3. Step 3: Cross multiply
    945,435x = 1,418,164.85 × 314,348.81
  4. Step 4: Simplify right side
    945,435x = 445,798,432,981.33
  5. Step 5: Solve for x
    x = 445,798,432,981.33/945,435
  6. Step 6: Final answer
    x = 471,527.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.