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Finding the Fourth Proportional to 708,212.08, 977,218.32 and 421,724.80

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Solution

The fourth proportional to 708,212.08, 977,218.32 and 421,724.80 is: 581,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,212.08 : 977,218.32 = 421,724.80 : x
  2. Step 2: Convert to fraction form
    708,212.08/977,218.32 = 421,724.80/x
  3. Step 3: Cross multiply
    708,212.08x = 977,218.32 × 421,724.80
  4. Step 4: Simplify right side
    708,212.08x = 412,117,200,558.34
  5. Step 5: Solve for x
    x = 412,117,200,558.34/708,212.08
  6. Step 6: Final answer
    x = 581,912.13

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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.