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Finding the Fourth Proportional to 495,752.54, 684,138.57 and 269,397.50

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Solution

The fourth proportional to 495,752.54, 684,138.57 and 269,397.50 is: 371,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,752.54 : 684,138.57 = 269,397.50 : x
  2. Step 2: Convert to fraction form
    495,752.54/684,138.57 = 269,397.50/x
  3. Step 3: Cross multiply
    495,752.54x = 684,138.57 × 269,397.50
  4. Step 4: Simplify right side
    495,752.54x = 184,305,220,411.58
  5. Step 5: Solve for x
    x = 184,305,220,411.58/495,752.54
  6. Step 6: Final answer
    x = 371,768.59

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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.