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Finding the Fourth Proportional to 431,329.60, 646,994.40 and 150,817.60

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Solution

The fourth proportional to 431,329.60, 646,994.40 and 150,817.60 is: 226,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,329.60 : 646,994.40 = 150,817.60 : x
  2. Step 2: Convert to fraction form
    431,329.60/646,994.40 = 150,817.60/x
  3. Step 3: Cross multiply
    431,329.60x = 646,994.40 × 150,817.60
  4. Step 4: Simplify right side
    431,329.60x = 97,578,142,621.44
  5. Step 5: Solve for x
    x = 97,578,142,621.44/431,329.60
  6. Step 6: Final answer
    x = 226,226.40

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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.