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Finding the Fourth Proportional to 431,271.22, 646,077.72 and 241,154.97

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Solution

The fourth proportional to 431,271.22, 646,077.72 and 241,154.97 is: 361,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,271.22 : 646,077.72 = 241,154.97 : x
  2. Step 2: Convert to fraction form
    431,271.22/646,077.72 = 241,154.97/x
  3. Step 3: Cross multiply
    431,271.22x = 646,077.72 × 241,154.97
  4. Step 4: Simplify right side
    431,271.22x = 155,804,853,943.50
  5. Step 5: Solve for x
    x = 155,804,853,943.50/431,271.22
  6. Step 6: Final answer
    x = 361,268.84

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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.