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Finding the Fourth Proportional to 309,152.95, 463,757.10 and 84,514.56

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Solution

The fourth proportional to 309,152.95, 463,757.10 and 84,514.56 is: 126,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,152.95 : 463,757.10 = 84,514.56 : x
  2. Step 2: Convert to fraction form
    309,152.95/463,757.10 = 84,514.56/x
  3. Step 3: Cross multiply
    309,152.95x = 463,757.10 × 84,514.56
  4. Step 4: Simplify right side
    309,152.95x = 39,194,227,253.38
  5. Step 5: Solve for x
    x = 39,194,227,253.38/309,152.95
  6. Step 6: Final answer
    x = 126,779.41

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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.