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Finding the Fourth Proportional to 330,419.16, 495,647.60 and 93,743.24

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Solution

The fourth proportional to 330,419.16, 495,647.60 and 93,743.24 is: 140,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,419.16 : 495,647.60 = 93,743.24 : x
  2. Step 2: Convert to fraction form
    330,419.16/495,647.60 = 93,743.24/x
  3. Step 3: Cross multiply
    330,419.16x = 495,647.60 × 93,743.24
  4. Step 4: Simplify right side
    330,419.16x = 46,463,611,922.22
  5. Step 5: Solve for x
    x = 46,463,611,922.22/330,419.16
  6. Step 6: Final answer
    x = 140,620.21

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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.