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Finding the Fourth Proportional to 495,047.63, 741,628.81 and 281,962.63

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Solution

The fourth proportional to 495,047.63, 741,628.81 and 281,962.63 is: 422,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,047.63 : 741,628.81 = 281,962.63 : x
  2. Step 2: Convert to fraction form
    495,047.63/741,628.81 = 281,962.63/x
  3. Step 3: Cross multiply
    495,047.63x = 741,628.81 × 281,962.63
  4. Step 4: Simplify right side
    495,047.63x = 209,111,606,859.20
  5. Step 5: Solve for x
    x = 209,111,606,859.20/495,047.63
  6. Step 6: Final answer
    x = 422,407.04

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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.