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Finding the Fourth Proportional to 294,471.36, 406,356.48 and 167,130

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Solution

The fourth proportional to 294,471.36, 406,356.48 and 167,130 is: 230,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,471.36 : 406,356.48 = 167,130 : x
  2. Step 2: Convert to fraction form
    294,471.36/406,356.48 = 167,130/x
  3. Step 3: Cross multiply
    294,471.36x = 406,356.48 × 167,130
  4. Step 4: Simplify right side
    294,471.36x = 67,914,358,502.40
  5. Step 5: Solve for x
    x = 67,914,358,502.40/294,471.36
  6. Step 6: Final answer
    x = 230,631.46

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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.