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Finding the Fourth Proportional to 737,422.66, 1,017,662.96 and 415,144.95

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Solution

The fourth proportional to 737,422.66, 1,017,662.96 and 415,144.95 is: 572,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,422.66 : 1,017,662.96 = 415,144.95 : x
  2. Step 2: Convert to fraction form
    737,422.66/1,017,662.96 = 415,144.95/x
  3. Step 3: Cross multiply
    737,422.66x = 1,017,662.96 × 415,144.95
  4. Step 4: Simplify right side
    737,422.66x = 422,477,638,646.05
  5. Step 5: Solve for x
    x = 422,477,638,646.05/737,422.66
  6. Step 6: Final answer
    x = 572,911.12

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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.