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Finding the Fourth Proportional to 312,664.02, 468,992.62 and 76,006.95

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Solution

The fourth proportional to 312,664.02, 468,992.62 and 76,006.95 is: 114,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,664.02 : 468,992.62 = 76,006.95 : x
  2. Step 2: Convert to fraction form
    312,664.02/468,992.62 = 76,006.95/x
  3. Step 3: Cross multiply
    312,664.02x = 468,992.62 × 76,006.95
  4. Step 4: Simplify right side
    312,664.02x = 35,646,698,618.71
  5. Step 5: Solve for x
    x = 35,646,698,618.71/312,664.02
  6. Step 6: Final answer
    x = 114,009.60

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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.