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Finding the Fourth Proportional to 505,696.49, 758,655.50 and 190,153.40

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Solution

The fourth proportional to 505,696.49, 758,655.50 and 190,153.40 is: 285,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,696.49 : 758,655.50 = 190,153.40 : x
  2. Step 2: Convert to fraction form
    505,696.49/758,655.50 = 190,153.40/x
  3. Step 3: Cross multiply
    505,696.49x = 758,655.50 × 190,153.40
  4. Step 4: Simplify right side
    505,696.49x = 144,260,918,960.42
  5. Step 5: Solve for x
    x = 144,260,918,960.42/505,696.49
  6. Step 6: Final answer
    x = 285,271.74

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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.