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Finding the Fourth Proportional to 829,640.80, 1,144,906.14 and 462,114.98

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Solution

The fourth proportional to 829,640.80, 1,144,906.14 and 462,114.98 is: 637,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,640.80 : 1,144,906.14 = 462,114.98 : x
  2. Step 2: Convert to fraction form
    829,640.80/1,144,906.14 = 462,114.98/x
  3. Step 3: Cross multiply
    829,640.80x = 1,144,906.14 × 462,114.98
  4. Step 4: Simplify right side
    829,640.80x = 529,078,277,987.98
  5. Step 5: Solve for x
    x = 529,078,277,987.98/829,640.80
  6. Step 6: Final answer
    x = 637,719.70

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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.