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Finding the Fourth Proportional to 505,411.68, 757,864 and 168,333.84

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Solution

The fourth proportional to 505,411.68, 757,864 and 168,333.84 is: 252,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,411.68 : 757,864 = 168,333.84 : x
  2. Step 2: Convert to fraction form
    505,411.68/757,864 = 168,333.84/x
  3. Step 3: Cross multiply
    505,411.68x = 757,864 × 168,333.84
  4. Step 4: Simplify right side
    505,411.68x = 127,574,157,317.76
  5. Step 5: Solve for x
    x = 127,574,157,317.76/505,411.68
  6. Step 6: Final answer
    x = 252,416.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.