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Finding the Fourth Proportional to 601,411.44, 829,948.80 and 329,473.38

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Solution

The fourth proportional to 601,411.44, 829,948.80 and 329,473.38 is: 454,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,411.44 : 829,948.80 = 329,473.38 : x
  2. Step 2: Convert to fraction form
    601,411.44/829,948.80 = 329,473.38/x
  3. Step 3: Cross multiply
    601,411.44x = 829,948.80 × 329,473.38
  4. Step 4: Simplify right side
    601,411.44x = 273,446,036,362.94
  5. Step 5: Solve for x
    x = 273,446,036,362.94/601,411.44
  6. Step 6: Final answer
    x = 454,673.82

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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.