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Finding the Fourth Proportional to 705,689.64, 973,846.45 and 383,402.38

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Solution

The fourth proportional to 705,689.64, 973,846.45 and 383,402.38 is: 529,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,689.64 : 973,846.45 = 383,402.38 : x
  2. Step 2: Convert to fraction form
    705,689.64/973,846.45 = 383,402.38/x
  3. Step 3: Cross multiply
    705,689.64x = 973,846.45 × 383,402.38
  4. Step 4: Simplify right side
    705,689.64x = 373,375,046,684.55
  5. Step 5: Solve for x
    x = 373,375,046,684.55/705,689.64
  6. Step 6: Final answer
    x = 529,092.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.