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Finding the Fourth Proportional to 306,114.40, 459,051.45 and 116,474.05

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Solution

The fourth proportional to 306,114.40, 459,051.45 and 116,474.05 is: 174,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,114.40 : 459,051.45 = 116,474.05 : x
  2. Step 2: Convert to fraction form
    306,114.40/459,051.45 = 116,474.05/x
  3. Step 3: Cross multiply
    306,114.40x = 459,051.45 × 116,474.05
  4. Step 4: Simplify right side
    306,114.40x = 53,467,581,539.87
  5. Step 5: Solve for x
    x = 53,467,581,539.87/306,114.40
  6. Step 6: Final answer
    x = 174,665.36

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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.