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Finding the Fourth Proportional to 703,522.56, 1,056,696 and 419,766.87

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Solution

The fourth proportional to 703,522.56, 1,056,696 and 419,766.87 is: 630,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,522.56 : 1,056,696 = 419,766.87 : x
  2. Step 2: Convert to fraction form
    703,522.56/1,056,696 = 419,766.87/x
  3. Step 3: Cross multiply
    703,522.56x = 1,056,696 × 419,766.87
  4. Step 4: Simplify right side
    703,522.56x = 443,565,967,178.04
  5. Step 5: Solve for x
    x = 443,565,967,178.04/703,522.56
  6. Step 6: Final answer
    x = 630,492.89

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Why These Related Problems?

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