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Finding the Fourth Proportional to 693,305, 1,039,825.98 and 337,961.64

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Solution

The fourth proportional to 693,305, 1,039,825.98 and 337,961.64 is: 506,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,305 : 1,039,825.98 = 337,961.64 : x
  2. Step 2: Convert to fraction form
    693,305/1,039,825.98 = 337,961.64/x
  3. Step 3: Cross multiply
    693,305x = 1,039,825.98 × 337,961.64
  4. Step 4: Simplify right side
    693,305x = 351,421,293,515.41
  5. Step 5: Solve for x
    x = 351,421,293,515.41/693,305
  6. Step 6: Final answer
    x = 506,878.35

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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.