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Finding the Fourth Proportional to 431,041.56, 646,562.30 and 164,829

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Solution

The fourth proportional to 431,041.56, 646,562.30 and 164,829 is: 247,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,041.56 : 646,562.30 = 164,829 : x
  2. Step 2: Convert to fraction form
    431,041.56/646,562.30 = 164,829/x
  3. Step 3: Cross multiply
    431,041.56x = 646,562.30 × 164,829
  4. Step 4: Simplify right side
    431,041.56x = 106,572,217,346.70
  5. Step 5: Solve for x
    x = 106,572,217,346.70/431,041.56
  6. Step 6: Final answer
    x = 247,243.48

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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.