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Finding the Fourth Proportional to 283,323.30, 424,000.80 and 194,749.80

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Solution

The fourth proportional to 283,323.30, 424,000.80 and 194,749.80 is: 291,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,323.30 : 424,000.80 = 194,749.80 : x
  2. Step 2: Convert to fraction form
    283,323.30/424,000.80 = 194,749.80/x
  3. Step 3: Cross multiply
    283,323.30x = 424,000.80 × 194,749.80
  4. Step 4: Simplify right side
    283,323.30x = 82,574,070,999.84
  5. Step 5: Solve for x
    x = 82,574,070,999.84/283,323.30
  6. Step 6: Final answer
    x = 291,448.22

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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.