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Finding the Fourth Proportional to 412,059.44, 619,036.45 and 290,759.15

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Solution

The fourth proportional to 412,059.44, 619,036.45 and 290,759.15 is: 436,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,059.44 : 619,036.45 = 290,759.15 : x
  2. Step 2: Convert to fraction form
    412,059.44/619,036.45 = 290,759.15/x
  3. Step 3: Cross multiply
    412,059.44x = 619,036.45 × 290,759.15
  4. Step 4: Simplify right side
    412,059.44x = 179,990,512,841.71
  5. Step 5: Solve for x
    x = 179,990,512,841.71/412,059.44
  6. Step 6: Final answer
    x = 436,807.16

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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.