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Finding the Fourth Proportional to 289,301.07, 433,203.98 and 199,620.30

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Solution

The fourth proportional to 289,301.07, 433,203.98 and 199,620.30 is: 298,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,301.07 : 433,203.98 = 199,620.30 : x
  2. Step 2: Convert to fraction form
    289,301.07/433,203.98 = 199,620.30/x
  3. Step 3: Cross multiply
    289,301.07x = 433,203.98 × 199,620.30
  4. Step 4: Simplify right side
    289,301.07x = 86,476,307,450.69
  5. Step 5: Solve for x
    x = 86,476,307,450.69/289,301.07
  6. Step 6: Final answer
    x = 298,914.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.