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Finding the Fourth Proportional to 398,650.31, 597,636.77 and 185,541.96

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Solution

The fourth proportional to 398,650.31, 597,636.77 and 185,541.96 is: 278,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,650.31 : 597,636.77 = 185,541.96 : x
  2. Step 2: Convert to fraction form
    398,650.31/597,636.77 = 185,541.96/x
  3. Step 3: Cross multiply
    398,650.31x = 597,636.77 × 185,541.96
  4. Step 4: Simplify right side
    398,650.31x = 110,886,696,746.16
  5. Step 5: Solve for x
    x = 110,886,696,746.16/398,650.31
  6. Step 6: Final answer
    x = 278,155.30

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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.