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Finding the Fourth Proportional to 346,212.36, 519,376.86 and 159,219

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Solution

The fourth proportional to 346,212.36, 519,376.86 and 159,219 is: 238,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,212.36 : 519,376.86 = 159,219 : x
  2. Step 2: Convert to fraction form
    346,212.36/519,376.86 = 159,219/x
  3. Step 3: Cross multiply
    346,212.36x = 519,376.86 × 159,219
  4. Step 4: Simplify right side
    346,212.36x = 82,694,664,272.34
  5. Step 5: Solve for x
    x = 82,694,664,272.34/346,212.36
  6. Step 6: Final answer
    x = 238,855.32

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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.