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Finding the Fourth Proportional to 343,855.40, 515,783.10 and 308,863.40

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Solution

The fourth proportional to 343,855.40, 515,783.10 and 308,863.40 is: 463,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,855.40 : 515,783.10 = 308,863.40 : x
  2. Step 2: Convert to fraction form
    343,855.40/515,783.10 = 308,863.40/x
  3. Step 3: Cross multiply
    343,855.40x = 515,783.10 × 308,863.40
  4. Step 4: Simplify right side
    343,855.40x = 159,306,521,928.54
  5. Step 5: Solve for x
    x = 159,306,521,928.54/343,855.40
  6. Step 6: Final answer
    x = 463,295.10

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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.