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Finding the Fourth Proportional to 601,794.36, 830,437.92 and 329,814.18

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Solution

The fourth proportional to 601,794.36, 830,437.92 and 329,814.18 is: 455,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,794.36 : 830,437.92 = 329,814.18 : x
  2. Step 2: Convert to fraction form
    601,794.36/830,437.92 = 329,814.18/x
  3. Step 3: Cross multiply
    601,794.36x = 830,437.92 × 329,814.18
  4. Step 4: Simplify right side
    601,794.36x = 273,890,201,625.71
  5. Step 5: Solve for x
    x = 273,890,201,625.71/601,794.36
  6. Step 6: Final answer
    x = 455,122.58

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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.