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Finding the Fourth Proportional to 601,458.90, 830,013.26 and 329,537.09

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Solution

The fourth proportional to 601,458.90, 830,013.26 and 329,537.09 is: 454,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,458.90 : 830,013.26 = 329,537.09 : x
  2. Step 2: Convert to fraction form
    601,458.90/830,013.26 = 329,537.09/x
  3. Step 3: Cross multiply
    601,458.90x = 830,013.26 × 329,537.09
  4. Step 4: Simplify right side
    601,458.90x = 273,520,154,361.81
  5. Step 5: Solve for x
    x = 273,520,154,361.81/601,458.90
  6. Step 6: Final answer
    x = 454,761.17

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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.