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Finding the Fourth Proportional to 465,489.10, 698,233.65 and 433,996.30

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Solution

The fourth proportional to 465,489.10, 698,233.65 and 433,996.30 is: 650,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,489.10 : 698,233.65 = 433,996.30 : x
  2. Step 2: Convert to fraction form
    465,489.10/698,233.65 = 433,996.30/x
  3. Step 3: Cross multiply
    465,489.10x = 698,233.65 × 433,996.30
  4. Step 4: Simplify right side
    465,489.10x = 303,030,820,635.50
  5. Step 5: Solve for x
    x = 303,030,820,635.50/465,489.10
  6. Step 6: Final answer
    x = 650,994.45

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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.