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Finding the Fourth Proportional to 601,466.61, 830,023.91 and 329,544.81

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Solution

The fourth proportional to 601,466.61, 830,023.91 and 329,544.81 is: 454,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,466.61 : 830,023.91 = 329,544.81 : x
  2. Step 2: Convert to fraction form
    601,466.61/830,023.91 = 329,544.81/x
  3. Step 3: Cross multiply
    601,466.61x = 830,023.91 × 329,544.81
  4. Step 4: Simplify right side
    601,466.61x = 273,530,071,304.48
  5. Step 5: Solve for x
    x = 273,530,071,304.48/601,466.61
  6. Step 6: Final answer
    x = 454,771.83

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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.