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Finding the Fourth Proportional to 495,708.98, 684,077.06 and 269,354.48

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Solution

The fourth proportional to 495,708.98, 684,077.06 and 269,354.48 is: 371,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,708.98 : 684,077.06 = 269,354.48 : x
  2. Step 2: Convert to fraction form
    495,708.98/684,077.06 = 269,354.48/x
  3. Step 3: Cross multiply
    495,708.98x = 684,077.06 × 269,354.48
  4. Step 4: Simplify right side
    495,708.98x = 184,259,220,776.23
  5. Step 5: Solve for x
    x = 184,259,220,776.23/495,708.98
  6. Step 6: Final answer
    x = 371,708.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.