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Finding the Fourth Proportional to 495,647.55, 683,985.20 and 269,291.43

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Solution

The fourth proportional to 495,647.55, 683,985.20 and 269,291.43 is: 371,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,647.55 : 683,985.20 = 269,291.43 : x
  2. Step 2: Convert to fraction form
    495,647.55/683,985.20 = 269,291.43/x
  3. Step 3: Cross multiply
    495,647.55x = 683,985.20 × 269,291.43
  4. Step 4: Simplify right side
    495,647.55x = 184,191,351,260.38
  5. Step 5: Solve for x
    x = 184,191,351,260.38/495,647.55
  6. Step 6: Final answer
    x = 371,617.60

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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.