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Finding the Fourth Proportional to 601,574.65, 830,158.69 and 329,629.40

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Solution

The fourth proportional to 601,574.65, 830,158.69 and 329,629.40 is: 454,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,574.65 : 830,158.69 = 329,629.40 : x
  2. Step 2: Convert to fraction form
    601,574.65/830,158.69 = 329,629.40/x
  3. Step 3: Cross multiply
    601,574.65x = 830,158.69 × 329,629.40
  4. Step 4: Simplify right side
    601,574.65x = 273,644,709,241.34
  5. Step 5: Solve for x
    x = 273,644,709,241.34/601,574.65
  6. Step 6: Final answer
    x = 454,880.72

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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.