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Finding the Fourth Proportional to 468,532.80, 702,280.80 and 258,321.60

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Solution

The fourth proportional to 468,532.80, 702,280.80 and 258,321.60 is: 387,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,532.80 : 702,280.80 = 258,321.60 : x
  2. Step 2: Convert to fraction form
    468,532.80/702,280.80 = 258,321.60/x
  3. Step 3: Cross multiply
    468,532.80x = 702,280.80 × 258,321.60
  4. Step 4: Simplify right side
    468,532.80x = 181,414,299,905.28
  5. Step 5: Solve for x
    x = 181,414,299,905.28/468,532.80
  6. Step 6: Final answer
    x = 387,196.58

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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.