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Finding the Fourth Proportional to 601,914.57, 830,624.10 and 329,973.16

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Solution

The fourth proportional to 601,914.57, 830,624.10 and 329,973.16 is: 455,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,914.57 : 830,624.10 = 329,973.16 : x
  2. Step 2: Convert to fraction form
    601,914.57/830,624.10 = 329,973.16/x
  3. Step 3: Cross multiply
    601,914.57x = 830,624.10 × 329,973.16
  4. Step 4: Simplify right side
    601,914.57x = 274,083,659,049.16
  5. Step 5: Solve for x
    x = 274,083,659,049.16/601,914.57
  6. Step 6: Final answer
    x = 455,353.09

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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.