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Finding the Fourth Proportional to 295,633.47, 407,974.56 and 168,309.06

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Solution

The fourth proportional to 295,633.47, 407,974.56 and 168,309.06 is: 232,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,633.47 : 407,974.56 = 168,309.06 : x
  2. Step 2: Convert to fraction form
    295,633.47/407,974.56 = 168,309.06/x
  3. Step 3: Cross multiply
    295,633.47x = 407,974.56 × 168,309.06
  4. Step 4: Simplify right side
    295,633.47x = 68,665,814,697.51
  5. Step 5: Solve for x
    x = 68,665,814,697.51/295,633.47
  6. Step 6: Final answer
    x = 232,266.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.