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Finding the Fourth Proportional to 283,357.80, 424,052.55 and 194,784.30

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Solution

The fourth proportional to 283,357.80, 424,052.55 and 194,784.30 is: 291,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,357.80 : 424,052.55 = 194,784.30 : x
  2. Step 2: Convert to fraction form
    283,357.80/424,052.55 = 194,784.30/x
  3. Step 3: Cross multiply
    283,357.80x = 424,052.55 × 194,784.30
  4. Step 4: Simplify right side
    283,357.80x = 82,598,779,114.97
  5. Step 5: Solve for x
    x = 82,598,779,114.97/283,357.80
  6. Step 6: Final answer
    x = 291,499.93

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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.