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Finding the Fourth Proportional to 647,634.19, 971,532.67 and 347,702.51

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Solution

The fourth proportional to 647,634.19, 971,532.67 and 347,702.51 is: 521,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,634.19 : 971,532.67 = 347,702.51 : x
  2. Step 2: Convert to fraction form
    647,634.19/971,532.67 = 347,702.51/x
  3. Step 3: Cross multiply
    647,634.19x = 971,532.67 × 347,702.51
  4. Step 4: Simplify right side
    647,634.19x = 337,804,347,906.00
  5. Step 5: Solve for x
    x = 337,804,347,906.00/647,634.19
  6. Step 6: Final answer
    x = 521,597.46

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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.