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Finding the Fourth Proportional to 465,890.40, 698,835.60 and 465,890.40

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Solution

The fourth proportional to 465,890.40, 698,835.60 and 465,890.40 is: 698,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,890.40 : 698,835.60 = 465,890.40 : x
  2. Step 2: Convert to fraction form
    465,890.40/698,835.60 = 465,890.40/x
  3. Step 3: Cross multiply
    465,890.40x = 698,835.60 × 465,890.40
  4. Step 4: Simplify right side
    465,890.40x = 325,580,797,218.24
  5. Step 5: Solve for x
    x = 325,580,797,218.24/465,890.40
  6. Step 6: Final answer
    x = 698,835.60

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