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Finding the Fourth Proportional to 505,602, 758,527.74 and 150,614.64

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Solution

The fourth proportional to 505,602, 758,527.74 and 150,614.64 is: 225,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,602 : 758,527.74 = 150,614.64 : x
  2. Step 2: Convert to fraction form
    505,602/758,527.74 = 150,614.64/x
  3. Step 3: Cross multiply
    505,602x = 758,527.74 × 150,614.64
  4. Step 4: Simplify right side
    505,602x = 114,245,382,490.11
  5. Step 5: Solve for x
    x = 114,245,382,490.11/505,602
  6. Step 6: Final answer
    x = 225,959.12

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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.