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Finding the Fourth Proportional to 431,273.40, 646,080.97 and 241,157.14

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Solution

The fourth proportional to 431,273.40, 646,080.97 and 241,157.14 is: 361,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,273.40 : 646,080.97 = 241,157.14 : x
  2. Step 2: Convert to fraction form
    431,273.40/646,080.97 = 241,157.14/x
  3. Step 3: Cross multiply
    431,273.40x = 646,080.97 × 241,157.14
  4. Step 4: Simplify right side
    431,273.40x = 155,807,038,933.63
  5. Step 5: Solve for x
    x = 155,807,038,933.63/431,273.40
  6. Step 6: Final answer
    x = 361,272.08

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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.