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Finding the Fourth Proportional to 505,191.72, 697,147.22 and 301,137.46

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Solution

The fourth proportional to 505,191.72, 697,147.22 and 301,137.46 is: 415,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,191.72 : 697,147.22 = 301,137.46 : x
  2. Step 2: Convert to fraction form
    505,191.72/697,147.22 = 301,137.46/x
  3. Step 3: Cross multiply
    505,191.72x = 697,147.22 × 301,137.46
  4. Step 4: Simplify right side
    505,191.72x = 209,937,143,076.86
  5. Step 5: Solve for x
    x = 209,937,143,076.86/505,191.72
  6. Step 6: Final answer
    x = 415,559.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.