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Finding the Fourth Proportional to 465,098.40, 697,647.60 and 433,605.60

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Solution

The fourth proportional to 465,098.40, 697,647.60 and 433,605.60 is: 650,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,098.40 : 697,647.60 = 433,605.60 : x
  2. Step 2: Convert to fraction form
    465,098.40/697,647.60 = 433,605.60/x
  3. Step 3: Cross multiply
    465,098.40x = 697,647.60 × 433,605.60
  4. Step 4: Simplify right side
    465,098.40x = 302,503,906,186.56
  5. Step 5: Solve for x
    x = 302,503,906,186.56/465,098.40
  6. Step 6: Final answer
    x = 650,408.40

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Similar ratio
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1.5x scale

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.