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Finding the Fourth Proportional to 601,551.44, 830,136.16 and 329,618.57

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Solution

The fourth proportional to 601,551.44, 830,136.16 and 329,618.57 is: 454,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,551.44 : 830,136.16 = 329,618.57 : x
  2. Step 2: Convert to fraction form
    601,551.44/830,136.16 = 329,618.57/x
  3. Step 3: Cross multiply
    601,551.44x = 830,136.16 × 329,618.57
  4. Step 4: Simplify right side
    601,551.44x = 273,628,298,800.93
  5. Step 5: Solve for x
    x = 273,628,298,800.93/601,551.44
  6. Step 6: Final answer
    x = 454,870.99

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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.