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Finding the Fourth Proportional to 291,625.44, 402,437.88 and 164,298.30

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Solution

The fourth proportional to 291,625.44, 402,437.88 and 164,298.30 is: 226,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,625.44 : 402,437.88 = 164,298.30 : x
  2. Step 2: Convert to fraction form
    291,625.44/402,437.88 = 164,298.30/x
  3. Step 3: Cross multiply
    291,625.44x = 402,437.88 × 164,298.30
  4. Step 4: Simplify right side
    291,625.44x = 66,119,859,539.60
  5. Step 5: Solve for x
    x = 66,119,859,539.60/291,625.44
  6. Step 6: Final answer
    x = 226,728.71

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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.