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Finding the Fourth Proportional to 643,741.40, 965,607.30 and 194,461.40

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Solution

The fourth proportional to 643,741.40, 965,607.30 and 194,461.40 is: 291,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,741.40 : 965,607.30 = 194,461.40 : x
  2. Step 2: Convert to fraction form
    643,741.40/965,607.30 = 194,461.40/x
  3. Step 3: Cross multiply
    643,741.40x = 965,607.30 × 194,461.40
  4. Step 4: Simplify right side
    643,741.40x = 187,773,347,408.22
  5. Step 5: Solve for x
    x = 187,773,347,408.22/643,741.40
  6. Step 6: Final answer
    x = 291,690.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.