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Finding the Fourth Proportional to 505,696.10, 758,654.94 and 190,153.01

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Solution

The fourth proportional to 505,696.10, 758,654.94 and 190,153.01 is: 285,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,696.10 : 758,654.94 = 190,153.01 : x
  2. Step 2: Convert to fraction form
    505,696.10/758,654.94 = 190,153.01/x
  3. Step 3: Cross multiply
    505,696.10x = 758,654.94 × 190,153.01
  4. Step 4: Simplify right side
    505,696.10x = 144,260,520,392.37
  5. Step 5: Solve for x
    x = 144,260,520,392.37/505,696.10
  6. Step 6: Final answer
    x = 285,271.17

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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.