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Finding the Fourth Proportional to 629,594.10, 868,840.50 and 343,114.38

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Solution

The fourth proportional to 629,594.10, 868,840.50 and 343,114.38 is: 473,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,594.10 : 868,840.50 = 343,114.38 : x
  2. Step 2: Convert to fraction form
    629,594.10/868,840.50 = 343,114.38/x
  3. Step 3: Cross multiply
    629,594.10x = 868,840.50 × 343,114.38
  4. Step 4: Simplify right side
    629,594.10x = 298,111,669,476.39
  5. Step 5: Solve for x
    x = 298,111,669,476.39/629,594.10
  6. Step 6: Final answer
    x = 473,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.