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Finding the Fourth Proportional to 692,802, 1,039,233.24 and 219,522.24

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Solution

The fourth proportional to 692,802, 1,039,233.24 and 219,522.24 is: 329,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,802 : 1,039,233.24 = 219,522.24 : x
  2. Step 2: Convert to fraction form
    692,802/1,039,233.24 = 219,522.24/x
  3. Step 3: Cross multiply
    692,802x = 1,039,233.24 × 219,522.24
  4. Step 4: Simplify right side
    692,802x = 228,134,808,727.26
  5. Step 5: Solve for x
    x = 228,134,808,727.26/692,802
  6. Step 6: Final answer
    x = 329,292.94

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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.