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Finding the Fourth Proportional to 301,763.60, 416,434.96 and 165,808.56

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Solution

The fourth proportional to 301,763.60, 416,434.96 and 165,808.56 is: 228,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,763.60 : 416,434.96 = 165,808.56 : x
  2. Step 2: Convert to fraction form
    301,763.60/416,434.96 = 165,808.56/x
  3. Step 3: Cross multiply
    301,763.60x = 416,434.96 × 165,808.56
  4. Step 4: Simplify right side
    301,763.60x = 69,048,481,051.26
  5. Step 5: Solve for x
    x = 69,048,481,051.26/301,763.60
  6. Step 6: Final answer
    x = 228,816.47

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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.