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Finding the Fourth Proportional to 601,442.82, 829,990.80 and 329,527.98

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Solution

The fourth proportional to 601,442.82, 829,990.80 and 329,527.98 is: 454,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,442.82 : 829,990.80 = 329,527.98 : x
  2. Step 2: Convert to fraction form
    601,442.82/829,990.80 = 329,527.98/x
  3. Step 3: Cross multiply
    601,442.82x = 829,990.80 × 329,527.98
  4. Step 4: Simplify right side
    601,442.82x = 273,505,191,742.58
  5. Step 5: Solve for x
    x = 273,505,191,742.58/601,442.82
  6. Step 6: Final answer
    x = 454,748.45

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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.