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Finding the Fourth Proportional to 513,924.12, 770,881.86 and 401,698.74

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Solution

The fourth proportional to 513,924.12, 770,881.86 and 401,698.74 is: 602,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,924.12 : 770,881.86 = 401,698.74 : x
  2. Step 2: Convert to fraction form
    513,924.12/770,881.86 = 401,698.74/x
  3. Step 3: Cross multiply
    513,924.12x = 770,881.86 × 401,698.74
  4. Step 4: Simplify right side
    513,924.12x = 309,662,271,850.86
  5. Step 5: Solve for x
    x = 309,662,271,850.86/513,924.12
  6. Step 6: Final answer
    x = 602,544.73

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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.