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Finding the Fourth Proportional to 465,346.20, 698,019.30 and 288,199.20

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Solution

The fourth proportional to 465,346.20, 698,019.30 and 288,199.20 is: 432,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,346.20 : 698,019.30 = 288,199.20 : x
  2. Step 2: Convert to fraction form
    465,346.20/698,019.30 = 288,199.20/x
  3. Step 3: Cross multiply
    465,346.20x = 698,019.30 × 288,199.20
  4. Step 4: Simplify right side
    465,346.20x = 201,168,603,844.56
  5. Step 5: Solve for x
    x = 201,168,603,844.56/465,346.20
  6. Step 6: Final answer
    x = 432,298.80

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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.