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Finding the Fourth Proportional to 601,272.89, 829,756.92 and 329,345.33

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Solution

The fourth proportional to 601,272.89, 829,756.92 and 329,345.33 is: 454,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,272.89 : 829,756.92 = 329,345.33 : x
  2. Step 2: Convert to fraction form
    601,272.89/829,756.92 = 329,345.33/x
  3. Step 3: Cross multiply
    601,272.89x = 829,756.92 × 329,345.33
  4. Step 4: Simplify right side
    601,272.89x = 273,276,566,637.18
  5. Step 5: Solve for x
    x = 273,276,566,637.18/601,272.89
  6. Step 6: Final answer
    x = 454,496.74

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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.