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Finding the Fourth Proportional to 496,727.82, 745,164.63 and 159,657.36

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Solution

The fourth proportional to 496,727.82, 745,164.63 and 159,657.36 is: 239,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,727.82 : 745,164.63 = 159,657.36 : x
  2. Step 2: Convert to fraction form
    496,727.82/745,164.63 = 159,657.36/x
  3. Step 3: Cross multiply
    496,727.82x = 745,164.63 × 159,657.36
  4. Step 4: Simplify right side
    496,727.82x = 118,971,017,591.18
  5. Step 5: Solve for x
    x = 118,971,017,591.18/496,727.82
  6. Step 6: Final answer
    x = 239,509.47

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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.