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Finding the Fourth Proportional to 310,722.60, 466,093.62 and 100,362.36

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Solution

The fourth proportional to 310,722.60, 466,093.62 and 100,362.36 is: 150,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,722.60 : 466,093.62 = 100,362.36 : x
  2. Step 2: Convert to fraction form
    310,722.60/466,093.62 = 100,362.36/x
  3. Step 3: Cross multiply
    310,722.60x = 466,093.62 × 100,362.36
  4. Step 4: Simplify right side
    310,722.60x = 46,778,255,684.14
  5. Step 5: Solve for x
    x = 46,778,255,684.14/310,722.60
  6. Step 6: Final answer
    x = 150,546.68

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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.