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Finding the Fourth Proportional to 384,594.80, 576,946.86 and 118,377.50

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Solution

The fourth proportional to 384,594.80, 576,946.86 and 118,377.50 is: 177,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,594.80 : 576,946.86 = 118,377.50 : x
  2. Step 2: Convert to fraction form
    384,594.80/576,946.86 = 118,377.50/x
  3. Step 3: Cross multiply
    384,594.80x = 576,946.86 × 118,377.50
  4. Step 4: Simplify right side
    384,594.80x = 68,297,526,919.65
  5. Step 5: Solve for x
    x = 68,297,526,919.65/384,594.80
  6. Step 6: Final answer
    x = 177,583.07

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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.