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Finding the Fourth Proportional to 469,858.48, 704,781.42 and 114,875.56

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Solution

The fourth proportional to 469,858.48, 704,781.42 and 114,875.56 is: 172,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,858.48 : 704,781.42 = 114,875.56 : x
  2. Step 2: Convert to fraction form
    469,858.48/704,781.42 = 114,875.56/x
  3. Step 3: Cross multiply
    469,858.48x = 704,781.42 × 114,875.56
  4. Step 4: Simplify right side
    469,858.48x = 80,962,160,300.10
  5. Step 5: Solve for x
    x = 80,962,160,300.10/469,858.48
  6. Step 6: Final answer
    x = 172,311.80

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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.