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Finding the Fourth Proportional to 264,339.51, 364,778.74 and 143,478.22

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Solution

The fourth proportional to 264,339.51, 364,778.74 and 143,478.22 is: 197,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,339.51 : 364,778.74 = 143,478.22 : x
  2. Step 2: Convert to fraction form
    264,339.51/364,778.74 = 143,478.22/x
  3. Step 3: Cross multiply
    264,339.51x = 364,778.74 × 143,478.22
  4. Step 4: Simplify right side
    264,339.51x = 52,337,801,767.76
  5. Step 5: Solve for x
    x = 52,337,801,767.76/264,339.51
  6. Step 6: Final answer
    x = 197,994.63

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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.