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Finding the Fourth Proportional to 301,751.56, 416,417.24 and 165,794.20

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Solution

The fourth proportional to 301,751.56, 416,417.24 and 165,794.20 is: 228,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,751.56 : 416,417.24 = 165,794.20 : x
  2. Step 2: Convert to fraction form
    301,751.56/416,417.24 = 165,794.20/x
  3. Step 3: Cross multiply
    301,751.56x = 416,417.24 × 165,794.20
  4. Step 4: Simplify right side
    301,751.56x = 69,039,563,172.01
  5. Step 5: Solve for x
    x = 69,039,563,172.01/301,751.56
  6. Step 6: Final answer
    x = 228,796.04

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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.