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Finding the Fourth Proportional to 708,208.08, 977,212.80 and 421,720.80

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Solution

The fourth proportional to 708,208.08, 977,212.80 and 421,720.80 is: 581,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,208.08 : 977,212.80 = 421,720.80 : x
  2. Step 2: Convert to fraction form
    708,208.08/977,212.80 = 421,720.80/x
  3. Step 3: Cross multiply
    708,208.08x = 977,212.80 × 421,720.80
  4. Step 4: Simplify right side
    708,208.08x = 412,110,963,786.24
  5. Step 5: Solve for x
    x = 412,110,963,786.24/708,208.08
  6. Step 6: Final answer
    x = 581,906.61

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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.