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Finding the Fourth Proportional to 465,131.40, 697,697.10 and 458,910.60

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Solution

The fourth proportional to 465,131.40, 697,697.10 and 458,910.60 is: 688,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,131.40 : 697,697.10 = 458,910.60 : x
  2. Step 2: Convert to fraction form
    465,131.40/697,697.10 = 458,910.60/x
  3. Step 3: Cross multiply
    465,131.40x = 697,697.10 × 458,910.60
  4. Step 4: Simplify right side
    465,131.40x = 320,180,594,779.26
  5. Step 5: Solve for x
    x = 320,180,594,779.26/465,131.40
  6. Step 6: Final answer
    x = 688,365.90

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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.