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Finding the Fourth Proportional to 429,264.84, 643,197.06 and 218,613

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Solution

The fourth proportional to 429,264.84, 643,197.06 and 218,613 is: 327,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,264.84 : 643,197.06 = 218,613 : x
  2. Step 2: Convert to fraction form
    429,264.84/643,197.06 = 218,613/x
  3. Step 3: Cross multiply
    429,264.84x = 643,197.06 × 218,613
  4. Step 4: Simplify right side
    429,264.84x = 140,611,238,877.78
  5. Step 5: Solve for x
    x = 140,611,238,877.78/429,264.84
  6. Step 6: Final answer
    x = 327,562.91

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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.