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Finding the Fourth Proportional to 505,814.58, 697,964.40 and 301,827.69

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Solution

The fourth proportional to 505,814.58, 697,964.40 and 301,827.69 is: 416,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,814.58 : 697,964.40 = 301,827.69 : x
  2. Step 2: Convert to fraction form
    505,814.58/697,964.40 = 301,827.69/x
  3. Step 3: Cross multiply
    505,814.58x = 697,964.40 × 301,827.69
  4. Step 4: Simplify right side
    505,814.58x = 210,664,982,554.24
  5. Step 5: Solve for x
    x = 210,664,982,554.24/505,814.58
  6. Step 6: Final answer
    x = 416,486.58

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