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Finding the Fourth Proportional to 314,197.68, 469,161.97 and 305,684.58

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Solution

The fourth proportional to 314,197.68, 469,161.97 and 305,684.58 is: 456,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,197.68 : 469,161.97 = 305,684.58 : x
  2. Step 2: Convert to fraction form
    314,197.68/469,161.97 = 305,684.58/x
  3. Step 3: Cross multiply
    314,197.68x = 469,161.97 × 305,684.58
  4. Step 4: Simplify right side
    314,197.68x = 143,415,579,751.42
  5. Step 5: Solve for x
    x = 143,415,579,751.42/314,197.68
  6. Step 6: Final answer
    x = 456,450.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.