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Finding the Fourth Proportional to 495,684.84, 684,051.30 and 269,334.12

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Solution

The fourth proportional to 495,684.84, 684,051.30 and 269,334.12 is: 371,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,684.84 : 684,051.30 = 269,334.12 : x
  2. Step 2: Convert to fraction form
    495,684.84/684,051.30 = 269,334.12/x
  3. Step 3: Cross multiply
    495,684.84x = 684,051.30 × 269,334.12
  4. Step 4: Simplify right side
    495,684.84x = 184,238,354,920.36
  5. Step 5: Solve for x
    x = 184,238,354,920.36/495,684.84
  6. Step 6: Final answer
    x = 371,684.47

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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.