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Finding the Fourth Proportional to 498,735.16, 748,200.30 and 183,194.44

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Solution

The fourth proportional to 498,735.16, 748,200.30 and 183,194.44 is: 274,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,735.16 : 748,200.30 = 183,194.44 : x
  2. Step 2: Convert to fraction form
    498,735.16/748,200.30 = 183,194.44/x
  3. Step 3: Cross multiply
    498,735.16x = 748,200.30 × 183,194.44
  4. Step 4: Simplify right side
    498,735.16x = 137,066,134,966.33
  5. Step 5: Solve for x
    x = 137,066,134,966.33/498,735.16
  6. Step 6: Final answer
    x = 274,827.50

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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.