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Finding the Fourth Proportional to 301,904.10, 416,619.20 and 165,938.31

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Solution

The fourth proportional to 301,904.10, 416,619.20 and 165,938.31 is: 228,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,904.10 : 416,619.20 = 165,938.31 : x
  2. Step 2: Convert to fraction form
    301,904.10/416,619.20 = 165,938.31/x
  3. Step 3: Cross multiply
    301,904.10x = 416,619.20 × 165,938.31
  4. Step 4: Simplify right side
    301,904.10x = 69,133,085,131.86
  5. Step 5: Solve for x
    x = 69,133,085,131.86/301,904.10
  6. Step 6: Final answer
    x = 228,990.22

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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.