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Finding the Fourth Proportional to 301,488, 416,058.30 and 167,352

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Solution

The fourth proportional to 301,488, 416,058.30 and 167,352 is: 230,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,488 : 416,058.30 = 167,352 : x
  2. Step 2: Convert to fraction form
    301,488/416,058.30 = 167,352/x
  3. Step 3: Cross multiply
    301,488x = 416,058.30 × 167,352
  4. Step 4: Simplify right side
    301,488x = 69,628,188,621.60
  5. Step 5: Solve for x
    x = 69,628,188,621.60/301,488
  6. Step 6: Final answer
    x = 230,948.46

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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.