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Finding the Fourth Proportional to 492,802.24, 739,196.88 and 118,822

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Solution

The fourth proportional to 492,802.24, 739,196.88 and 118,822 is: 178,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,802.24 : 739,196.88 = 118,822 : x
  2. Step 2: Convert to fraction form
    492,802.24/739,196.88 = 118,822/x
  3. Step 3: Cross multiply
    492,802.24x = 739,196.88 × 118,822
  4. Step 4: Simplify right side
    492,802.24x = 87,832,851,675.36
  5. Step 5: Solve for x
    x = 87,832,851,675.36/492,802.24
  6. Step 6: Final answer
    x = 178,231.44

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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.