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Finding the Fourth Proportional to 495,689.38, 684,055.49 and 269,334.88

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Solution

The fourth proportional to 495,689.38, 684,055.49 and 269,334.88 is: 371,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,689.38 : 684,055.49 = 269,334.88 : x
  2. Step 2: Convert to fraction form
    495,689.38/684,055.49 = 269,334.88/x
  3. Step 3: Cross multiply
    495,689.38x = 684,055.49 × 269,334.88
  4. Step 4: Simplify right side
    495,689.38x = 184,240,003,312.49
  5. Step 5: Solve for x
    x = 184,240,003,312.49/495,689.38
  6. Step 6: Final answer
    x = 371,684.39

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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.