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Finding the Fourth Proportional to 465,234.40, 698,507.70 and 288,087.40

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Solution

The fourth proportional to 465,234.40, 698,507.70 and 288,087.40 is: 432,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,234.40 : 698,507.70 = 288,087.40 : x
  2. Step 2: Convert to fraction form
    465,234.40/698,507.70 = 288,087.40/x
  3. Step 3: Cross multiply
    465,234.40x = 698,507.70 × 288,087.40
  4. Step 4: Simplify right side
    465,234.40x = 201,231,267,172.98
  5. Step 5: Solve for x
    x = 201,231,267,172.98/465,234.40
  6. Step 6: Final answer
    x = 432,537.38

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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.