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Finding the Fourth Proportional to 505,816.58, 697,967.16 and 301,829.70

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Solution

The fourth proportional to 505,816.58, 697,967.16 and 301,829.70 is: 416,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,816.58 : 697,967.16 = 301,829.70 : x
  2. Step 2: Convert to fraction form
    505,816.58/697,967.16 = 301,829.70/x
  3. Step 3: Cross multiply
    505,816.58x = 697,967.16 × 301,829.70
  4. Step 4: Simplify right side
    505,816.58x = 210,667,218,512.65
  5. Step 5: Solve for x
    x = 210,667,218,512.65/505,816.58
  6. Step 6: Final answer
    x = 416,489.35

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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.