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Finding the Fourth Proportional to 777,169.89, 1,164,259.17 and 476,773.29

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Solution

The fourth proportional to 777,169.89, 1,164,259.17 and 476,773.29 is: 714,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,169.89 : 1,164,259.17 = 476,773.29 : x
  2. Step 2: Convert to fraction form
    777,169.89/1,164,259.17 = 476,773.29/x
  3. Step 3: Cross multiply
    777,169.89x = 1,164,259.17 × 476,773.29
  4. Step 4: Simplify right side
    777,169.89x = 555,087,674,893.57
  5. Step 5: Solve for x
    x = 555,087,674,893.57/777,169.89
  6. Step 6: Final answer
    x = 714,242.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.