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Finding the Fourth Proportional to 601,268.88, 829,751.41 and 329,341.32

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Solution

The fourth proportional to 601,268.88, 829,751.41 and 329,341.32 is: 454,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,268.88 : 829,751.41 = 329,341.32 : x
  2. Step 2: Convert to fraction form
    601,268.88/829,751.41 = 329,341.32/x
  3. Step 3: Cross multiply
    601,268.88x = 829,751.41 × 329,341.32
  4. Step 4: Simplify right side
    601,268.88x = 273,271,424,641.26
  5. Step 5: Solve for x
    x = 273,271,424,641.26/601,268.88
  6. Step 6: Final answer
    x = 454,491.22

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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.