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Finding the Fourth Proportional to 264,333, 364,778.64 and 143,474.28

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Solution

The fourth proportional to 264,333, 364,778.64 and 143,474.28 is: 197,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,333 : 364,778.64 = 143,474.28 : x
  2. Step 2: Convert to fraction form
    264,333/364,778.64 = 143,474.28/x
  3. Step 3: Cross multiply
    264,333x = 364,778.64 × 143,474.28
  4. Step 4: Simplify right side
    264,333x = 52,336,352,733.38
  5. Step 5: Solve for x
    x = 52,336,352,733.38/264,333
  6. Step 6: Final answer
    x = 197,994.02

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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.