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Finding the Fourth Proportional to 465,505.20, 698,257.80 and 288,358.20

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Solution

The fourth proportional to 465,505.20, 698,257.80 and 288,358.20 is: 432,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,505.20 : 698,257.80 = 288,358.20 : x
  2. Step 2: Convert to fraction form
    465,505.20/698,257.80 = 288,358.20/x
  3. Step 3: Cross multiply
    465,505.20x = 698,257.80 × 288,358.20
  4. Step 4: Simplify right side
    465,505.20x = 201,348,362,343.96
  5. Step 5: Solve for x
    x = 201,348,362,343.96/465,505.20
  6. Step 6: Final answer
    x = 432,537.30

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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.