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Finding the Fourth Proportional to 301,863.76, 416,580.02 and 165,901.60

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Solution

The fourth proportional to 301,863.76, 416,580.02 and 165,901.60 is: 228,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,863.76 : 416,580.02 = 165,901.60 : x
  2. Step 2: Convert to fraction form
    301,863.76/416,580.02 = 165,901.60/x
  3. Step 3: Cross multiply
    301,863.76x = 416,580.02 × 165,901.60
  4. Step 4: Simplify right side
    301,863.76x = 69,111,291,846.03
  5. Step 5: Solve for x
    x = 69,111,291,846.03/301,863.76
  6. Step 6: Final answer
    x = 228,948.62

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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.