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Finding the Fourth Proportional to 554,179.97, 829,768.43 and 287,381

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Solution

The fourth proportional to 554,179.97, 829,768.43 and 287,381 is: 430,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,179.97 : 829,768.43 = 287,381 : x
  2. Step 2: Convert to fraction form
    554,179.97/829,768.43 = 287,381/x
  3. Step 3: Cross multiply
    554,179.97x = 829,768.43 × 287,381
  4. Step 4: Simplify right side
    554,179.97x = 238,459,681,181.83
  5. Step 5: Solve for x
    x = 238,459,681,181.83/554,179.97
  6. Step 6: Final answer
    x = 430,292.85

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Why These Related Problems?

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