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Finding the Fourth Proportional to 301,862.79, 416,580.64 and 165,901.56

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Solution

The fourth proportional to 301,862.79, 416,580.64 and 165,901.56 is: 228,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,862.79 : 416,580.64 = 165,901.56 : x
  2. Step 2: Convert to fraction form
    301,862.79/416,580.64 = 165,901.56/x
  3. Step 3: Cross multiply
    301,862.79x = 416,580.64 × 165,901.56
  4. Step 4: Simplify right side
    301,862.79x = 69,111,378,041.80
  5. Step 5: Solve for x
    x = 69,111,378,041.80/301,862.79
  6. Step 6: Final answer
    x = 228,949.64

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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.