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Finding the Fourth Proportional to 452,533.98, 678,792.08 and 182,654.96

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Solution

The fourth proportional to 452,533.98, 678,792.08 and 182,654.96 is: 273,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,533.98 : 678,792.08 = 182,654.96 : x
  2. Step 2: Convert to fraction form
    452,533.98/678,792.08 = 182,654.96/x
  3. Step 3: Cross multiply
    452,533.98x = 678,792.08 × 182,654.96
  4. Step 4: Simplify right side
    452,533.98x = 123,984,735,913.48
  5. Step 5: Solve for x
    x = 123,984,735,913.48/452,533.98
  6. Step 6: Final answer
    x = 273,978.84

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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.