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Finding the Fourth Proportional to 320,465.10, 480,707.46 and 110,100

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Solution

The fourth proportional to 320,465.10, 480,707.46 and 110,100 is: 165,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,465.10 : 480,707.46 = 110,100 : x
  2. Step 2: Convert to fraction form
    320,465.10/480,707.46 = 110,100/x
  3. Step 3: Cross multiply
    320,465.10x = 480,707.46 × 110,100
  4. Step 4: Simplify right side
    320,465.10x = 52,925,891,346
  5. Step 5: Solve for x
    x = 52,925,891,346/320,465.10
  6. Step 6: Final answer
    x = 165,153.37

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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.