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Finding the Fourth Proportional to 613,124.56, 919,825.24 and 186,698.52

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Solution

The fourth proportional to 613,124.56, 919,825.24 and 186,698.52 is: 280,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,124.56 : 919,825.24 = 186,698.52 : x
  2. Step 2: Convert to fraction form
    613,124.56/919,825.24 = 186,698.52/x
  3. Step 3: Cross multiply
    613,124.56x = 919,825.24 × 186,698.52
  4. Step 4: Simplify right side
    613,124.56x = 171,730,010,966.65
  5. Step 5: Solve for x
    x = 171,730,010,966.65/613,124.56
  6. Step 6: Final answer
    x = 280,089.92

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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.