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Finding the Fourth Proportional to 853,464.74, 1,177,796.50 and 471,468.74

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Solution

The fourth proportional to 853,464.74, 1,177,796.50 and 471,468.74 is: 650,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,464.74 : 1,177,796.50 = 471,468.74 : x
  2. Step 2: Convert to fraction form
    853,464.74/1,177,796.50 = 471,468.74/x
  3. Step 3: Cross multiply
    853,464.74x = 1,177,796.50 × 471,468.74
  4. Step 4: Simplify right side
    853,464.74x = 555,294,224,763.76
  5. Step 5: Solve for x
    x = 555,294,224,763.76/853,464.74
  6. Step 6: Final answer
    x = 650,635.23

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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.