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Finding the Fourth Proportional to 601,464.09, 830,020.41 and 329,542.29

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Solution

The fourth proportional to 601,464.09, 830,020.41 and 329,542.29 is: 454,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,464.09 : 830,020.41 = 329,542.29 : x
  2. Step 2: Convert to fraction form
    601,464.09/830,020.41 = 329,542.29/x
  3. Step 3: Cross multiply
    601,464.09x = 830,020.41 × 329,542.29
  4. Step 4: Simplify right side
    601,464.09x = 273,526,826,658.14
  5. Step 5: Solve for x
    x = 273,526,826,658.14/601,464.09
  6. Step 6: Final answer
    x = 454,768.34

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1.5x scale

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.