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Finding the Fourth Proportional to 737,658.22, 1,017,999.64 and 410,970.94

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Solution

The fourth proportional to 737,658.22, 1,017,999.64 and 410,970.94 is: 567,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,658.22 : 1,017,999.64 = 410,970.94 : x
  2. Step 2: Convert to fraction form
    737,658.22/1,017,999.64 = 410,970.94/x
  3. Step 3: Cross multiply
    737,658.22x = 1,017,999.64 × 410,970.94
  4. Step 4: Simplify right side
    737,658.22x = 418,368,268,970.46
  5. Step 5: Solve for x
    x = 418,368,268,970.46/737,658.22
  6. Step 6: Final answer
    x = 567,157.33

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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.