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Finding the Fourth Proportional to 515,173.94, 769,008.50 and 477,184.04

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Solution

The fourth proportional to 515,173.94, 769,008.50 and 477,184.04 is: 712,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,173.94 : 769,008.50 = 477,184.04 : x
  2. Step 2: Convert to fraction form
    515,173.94/769,008.50 = 477,184.04/x
  3. Step 3: Cross multiply
    515,173.94x = 769,008.50 × 477,184.04
  4. Step 4: Simplify right side
    515,173.94x = 366,958,582,824.34
  5. Step 5: Solve for x
    x = 366,958,582,824.34/515,173.94
  6. Step 6: Final answer
    x = 712,300.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.