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Finding the Fourth Proportional to 431,095.80, 646,643.70 and 281,796.60

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Solution

The fourth proportional to 431,095.80, 646,643.70 and 281,796.60 is: 422,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,095.80 : 646,643.70 = 281,796.60 : x
  2. Step 2: Convert to fraction form
    431,095.80/646,643.70 = 281,796.60/x
  3. Step 3: Cross multiply
    431,095.80x = 646,643.70 × 281,796.60
  4. Step 4: Simplify right side
    431,095.80x = 182,221,996,071.42
  5. Step 5: Solve for x
    x = 182,221,996,071.42/431,095.80
  6. Step 6: Final answer
    x = 422,694.90

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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.