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Finding the Fourth Proportional to 516,894.04, 713,209.20 and 301,992.60

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Solution

The fourth proportional to 516,894.04, 713,209.20 and 301,992.60 is: 416,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,894.04 : 713,209.20 = 301,992.60 : x
  2. Step 2: Convert to fraction form
    516,894.04/713,209.20 = 301,992.60/x
  3. Step 3: Cross multiply
    516,894.04x = 713,209.20 × 301,992.60
  4. Step 4: Simplify right side
    516,894.04x = 215,383,900,651.92
  5. Step 5: Solve for x
    x = 215,383,900,651.92/516,894.04
  6. Step 6: Final answer
    x = 416,688.69

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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.