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Finding the Fourth Proportional to 301,752.37, 416,418.84 and 165,785.16

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Solution

The fourth proportional to 301,752.37, 416,418.84 and 165,785.16 is: 228,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,752.37 : 416,418.84 = 165,785.16 : x
  2. Step 2: Convert to fraction form
    301,752.37/416,418.84 = 165,785.16/x
  3. Step 3: Cross multiply
    301,752.37x = 416,418.84 × 165,785.16
  4. Step 4: Simplify right side
    301,752.37x = 69,036,065,577.99
  5. Step 5: Solve for x
    x = 69,036,065,577.99/301,752.37
  6. Step 6: Final answer
    x = 228,783.84

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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.