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Finding the Fourth Proportional to 495,729.96, 684,109.14 and 269,375.40

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Solution

The fourth proportional to 495,729.96, 684,109.14 and 269,375.40 is: 371,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,729.96 : 684,109.14 = 269,375.40 : x
  2. Step 2: Convert to fraction form
    495,729.96/684,109.14 = 269,375.40/x
  3. Step 3: Cross multiply
    495,729.96x = 684,109.14 × 269,375.40
  4. Step 4: Simplify right side
    495,729.96x = 184,282,173,231.16
  5. Step 5: Solve for x
    x = 184,282,173,231.16/495,729.96
  6. Step 6: Final answer
    x = 371,739.03

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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.