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Finding the Fourth Proportional to 769,490, 1,061,876.40 and 429,961.04

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Solution

The fourth proportional to 769,490, 1,061,876.40 and 429,961.04 is: 593,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,490 : 1,061,876.40 = 429,961.04 : x
  2. Step 2: Convert to fraction form
    769,490/1,061,876.40 = 429,961.04/x
  3. Step 3: Cross multiply
    769,490x = 1,061,876.40 × 429,961.04
  4. Step 4: Simplify right side
    769,490x = 456,565,481,295.46
  5. Step 5: Solve for x
    x = 456,565,481,295.46/769,490
  6. Step 6: Final answer
    x = 593,335.17

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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.