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Finding the Fourth Proportional to 301,862.29, 416,579.95 and 165,901.06

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Solution

The fourth proportional to 301,862.29, 416,579.95 and 165,901.06 is: 228,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,862.29 : 416,579.95 = 165,901.06 : x
  2. Step 2: Convert to fraction form
    301,862.29/416,579.95 = 165,901.06/x
  3. Step 3: Cross multiply
    301,862.29x = 416,579.95 × 165,901.06
  4. Step 4: Simplify right side
    301,862.29x = 69,111,055,279.75
  5. Step 5: Solve for x
    x = 69,111,055,279.75/301,862.29
  6. Step 6: Final answer
    x = 228,948.95

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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.