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Finding the Fourth Proportional to 677,826, 1,016,739 and 234,594

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Solution

The fourth proportional to 677,826, 1,016,739 and 234,594 is: 351,891

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,826 : 1,016,739 = 234,594 : x
  2. Step 2: Convert to fraction form
    677,826/1,016,739 = 234,594/x
  3. Step 3: Cross multiply
    677,826x = 1,016,739 × 234,594
  4. Step 4: Simplify right side
    677,826x = 238,520,868,966
  5. Step 5: Solve for x
    x = 238,520,868,966/677,826
  6. Step 6: Final answer
    x = 351,891

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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.