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Finding the Fourth Proportional to 469,064, 703,596 and 206,408

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Solution

The fourth proportional to 469,064, 703,596 and 206,408 is: 309,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,064 : 703,596 = 206,408 : x
  2. Step 2: Convert to fraction form
    469,064/703,596 = 206,408/x
  3. Step 3: Cross multiply
    469,064x = 703,596 × 206,408
  4. Step 4: Simplify right side
    469,064x = 145,227,843,168
  5. Step 5: Solve for x
    x = 145,227,843,168/469,064
  6. Step 6: Final answer
    x = 309,612

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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.