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Finding the Fourth Proportional to 265,684.65, 396,765.92 and 233,492.01

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Solution

The fourth proportional to 265,684.65, 396,765.92 and 233,492.01 is: 348,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,684.65 : 396,765.92 = 233,492.01 : x
  2. Step 2: Convert to fraction form
    265,684.65/396,765.92 = 233,492.01/x
  3. Step 3: Cross multiply
    265,684.65x = 396,765.92 × 233,492.01
  4. Step 4: Simplify right side
    265,684.65x = 92,641,672,160.30
  5. Step 5: Solve for x
    x = 92,641,672,160.30/265,684.65
  6. Step 6: Final answer
    x = 348,690.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.