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Finding the Fourth Proportional to 853,797.82, 1,178,194.60 and 471,800

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Solution

The fourth proportional to 853,797.82, 1,178,194.60 and 471,800 is: 651,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,797.82 : 1,178,194.60 = 471,800 : x
  2. Step 2: Convert to fraction form
    853,797.82/1,178,194.60 = 471,800/x
  3. Step 3: Cross multiply
    853,797.82x = 1,178,194.60 × 471,800
  4. Step 4: Simplify right side
    853,797.82x = 555,872,212,280
  5. Step 5: Solve for x
    x = 555,872,212,280/853,797.82
  6. Step 6: Final answer
    x = 651,058.36

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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.