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Finding the Fourth Proportional to 853,795.82, 1,178,191.85 and 471,798

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Solution

The fourth proportional to 853,795.82, 1,178,191.85 and 471,798 is: 651,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,795.82 : 1,178,191.85 = 471,798 : x
  2. Step 2: Convert to fraction form
    853,795.82/1,178,191.85 = 471,798/x
  3. Step 3: Cross multiply
    853,795.82x = 1,178,191.85 × 471,798
  4. Step 4: Simplify right side
    853,795.82x = 555,868,556,087.31
  5. Step 5: Solve for x
    x = 555,868,556,087.31/853,795.82
  6. Step 6: Final answer
    x = 651,055.61

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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.