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Finding the Fourth Proportional to 601,443.82, 829,992.18 and 329,528.98

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Solution

The fourth proportional to 601,443.82, 829,992.18 and 329,528.98 is: 454,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,443.82 : 829,992.18 = 329,528.98 : x
  2. Step 2: Convert to fraction form
    601,443.82/829,992.18 = 329,528.98/x
  3. Step 3: Cross multiply
    601,443.82x = 829,992.18 × 329,528.98
  4. Step 4: Simplify right side
    601,443.82x = 273,506,476,483.38
  5. Step 5: Solve for x
    x = 273,506,476,483.38/601,443.82
  6. Step 6: Final answer
    x = 454,749.83

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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.