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Finding the Fourth Proportional to 601,238.12, 829,679.04 and 329,307.20

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Solution

The fourth proportional to 601,238.12, 829,679.04 and 329,307.20 is: 454,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,238.12 : 829,679.04 = 329,307.20 : x
  2. Step 2: Convert to fraction form
    601,238.12/829,679.04 = 329,307.20/x
  3. Step 3: Cross multiply
    601,238.12x = 829,679.04 × 329,307.20
  4. Step 4: Simplify right side
    601,238.12x = 273,219,281,561.09
  5. Step 5: Solve for x
    x = 273,219,281,561.09/601,238.12
  6. Step 6: Final answer
    x = 454,427.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.