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Finding the Fourth Proportional to 343,057.02, 473,411.59 and 190,093.87

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Solution

The fourth proportional to 343,057.02, 473,411.59 and 190,093.87 is: 262,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,057.02 : 473,411.59 = 190,093.87 : x
  2. Step 2: Convert to fraction form
    343,057.02/473,411.59 = 190,093.87/x
  3. Step 3: Cross multiply
    343,057.02x = 473,411.59 × 190,093.87
  4. Step 4: Simplify right side
    343,057.02x = 89,992,641,245.95
  5. Step 5: Solve for x
    x = 89,992,641,245.95/343,057.02
  6. Step 6: Final answer
    x = 262,325.61

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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.