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Finding the Fourth Proportional to 348,193.51, 522,290.41 and 229,837.16

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Solution

The fourth proportional to 348,193.51, 522,290.41 and 229,837.16 is: 344,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,193.51 : 522,290.41 = 229,837.16 : x
  2. Step 2: Convert to fraction form
    348,193.51/522,290.41 = 229,837.16/x
  3. Step 3: Cross multiply
    348,193.51x = 522,290.41 × 229,837.16
  4. Step 4: Simplify right side
    348,193.51x = 120,041,745,260.77
  5. Step 5: Solve for x
    x = 120,041,745,260.77/348,193.51
  6. Step 6: Final answer
    x = 344,755.84

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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.