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Finding the Fourth Proportional to 431,722.80, 646,709.40 and 244,515.60

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Solution

The fourth proportional to 431,722.80, 646,709.40 and 244,515.60 is: 366,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,722.80 : 646,709.40 = 244,515.60 : x
  2. Step 2: Convert to fraction form
    431,722.80/646,709.40 = 244,515.60/x
  3. Step 3: Cross multiply
    431,722.80x = 646,709.40 × 244,515.60
  4. Step 4: Simplify right side
    431,722.80x = 158,130,536,966.64
  5. Step 5: Solve for x
    x = 158,130,536,966.64/431,722.80
  6. Step 6: Final answer
    x = 366,277.94

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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.