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Finding the Fourth Proportional to 495,109.30, 741,384.90 and 341,708.63

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Solution

The fourth proportional to 495,109.30, 741,384.90 and 341,708.63 is: 511,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,109.30 : 741,384.90 = 341,708.63 : x
  2. Step 2: Convert to fraction form
    495,109.30/741,384.90 = 341,708.63/x
  3. Step 3: Cross multiply
    495,109.30x = 741,384.90 × 341,708.63
  4. Step 4: Simplify right side
    495,109.30x = 253,337,618,481.69
  5. Step 5: Solve for x
    x = 253,337,618,481.69/495,109.30
  6. Step 6: Final answer
    x = 511,680.19

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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.