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Finding the Fourth Proportional to 829,209.64, 1,144,367.40 and 466,668.40

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Solution

The fourth proportional to 829,209.64, 1,144,367.40 and 466,668.40 is: 644,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,209.64 : 1,144,367.40 = 466,668.40 : x
  2. Step 2: Convert to fraction form
    829,209.64/1,144,367.40 = 466,668.40/x
  3. Step 3: Cross multiply
    829,209.64x = 1,144,367.40 × 466,668.40
  4. Step 4: Simplify right side
    829,209.64x = 534,040,103,570.16
  5. Step 5: Solve for x
    x = 534,040,103,570.16/829,209.64
  6. Step 6: Final answer
    x = 644,035.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.