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Finding the Fourth Proportional to 495,734.04, 684,113.04 and 269,379

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Solution

The fourth proportional to 495,734.04, 684,113.04 and 269,379 is: 371,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,734.04 : 684,113.04 = 269,379 : x
  2. Step 2: Convert to fraction form
    495,734.04/684,113.04 = 269,379/x
  3. Step 3: Cross multiply
    495,734.04x = 684,113.04 × 269,379
  4. Step 4: Simplify right side
    495,734.04x = 184,285,686,602.16
  5. Step 5: Solve for x
    x = 184,285,686,602.16/495,734.04
  6. Step 6: Final answer
    x = 371,743.06

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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.