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Finding the Fourth Proportional to 301,643.64, 416,221.83 and 174,294.63

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Solution

The fourth proportional to 301,643.64, 416,221.83 and 174,294.63 is: 240,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,643.64 : 416,221.83 = 174,294.63 : x
  2. Step 2: Convert to fraction form
    301,643.64/416,221.83 = 174,294.63/x
  3. Step 3: Cross multiply
    301,643.64x = 416,221.83 × 174,294.63
  4. Step 4: Simplify right side
    301,643.64x = 72,545,229,857.77
  5. Step 5: Solve for x
    x = 72,545,229,857.77/301,643.64
  6. Step 6: Final answer
    x = 240,499.78

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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.