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Finding the Fourth Proportional to 301,782.27, 416,457.54 and 165,817.70

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Solution

The fourth proportional to 301,782.27, 416,457.54 and 165,817.70 is: 228,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,782.27 : 416,457.54 = 165,817.70 : x
  2. Step 2: Convert to fraction form
    301,782.27/416,457.54 = 165,817.70/x
  3. Step 3: Cross multiply
    301,782.27x = 416,457.54 × 165,817.70
  4. Step 4: Simplify right side
    301,782.27x = 69,056,029,348.17
  5. Step 5: Solve for x
    x = 69,056,029,348.17/301,782.27
  6. Step 6: Final answer
    x = 228,827.32

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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.