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Finding the Fourth Proportional to 462,003.10, 693,523.05 and 357,286.30

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Solution

The fourth proportional to 462,003.10, 693,523.05 and 357,286.30 is: 536,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,003.10 : 693,523.05 = 357,286.30 : x
  2. Step 2: Convert to fraction form
    462,003.10/693,523.05 = 357,286.30/x
  3. Step 3: Cross multiply
    462,003.10x = 693,523.05 × 357,286.30
  4. Step 4: Simplify right side
    462,003.10x = 247,786,284,499.22
  5. Step 5: Solve for x
    x = 247,786,284,499.22/462,003.10
  6. Step 6: Final answer
    x = 536,330.35

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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.