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Finding the Fourth Proportional to 577,097.84, 863,481.63 and 477,305.03

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Solution

The fourth proportional to 577,097.84, 863,481.63 and 477,305.03 is: 714,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,097.84 : 863,481.63 = 477,305.03 : x
  2. Step 2: Convert to fraction form
    577,097.84/863,481.63 = 477,305.03/x
  3. Step 3: Cross multiply
    577,097.84x = 863,481.63 × 477,305.03
  4. Step 4: Simplify right side
    577,097.84x = 412,144,125,311.60
  5. Step 5: Solve for x
    x = 412,144,125,311.60/577,097.84
  6. Step 6: Final answer
    x = 714,166.81

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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.