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Finding the Fourth Proportional to 289,079.40, 433,554.30 and 189,935.40

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Solution

The fourth proportional to 289,079.40, 433,554.30 and 189,935.40 is: 284,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,079.40 : 433,554.30 = 189,935.40 : x
  2. Step 2: Convert to fraction form
    289,079.40/433,554.30 = 189,935.40/x
  3. Step 3: Cross multiply
    289,079.40x = 433,554.30 × 189,935.40
  4. Step 4: Simplify right side
    289,079.40x = 82,347,309,392.22
  5. Step 5: Solve for x
    x = 82,347,309,392.22/289,079.40
  6. Step 6: Final answer
    x = 284,860.52

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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.