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Finding the Fourth Proportional to 505,458.77, 758,352.20 and 150,475.86

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Solution

The fourth proportional to 505,458.77, 758,352.20 and 150,475.86 is: 225,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,458.77 : 758,352.20 = 150,475.86 : x
  2. Step 2: Convert to fraction form
    505,458.77/758,352.20 = 150,475.86/x
  3. Step 3: Cross multiply
    505,458.77x = 758,352.20 × 150,475.86
  4. Step 4: Simplify right side
    505,458.77x = 114,113,698,725.51
  5. Step 5: Solve for x
    x = 114,113,698,725.51/505,458.77
  6. Step 6: Final answer
    x = 225,762.63

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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.