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Finding the Fourth Proportional to 495,750.72, 684,140.16 and 269,396.16

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Solution

The fourth proportional to 495,750.72, 684,140.16 and 269,396.16 is: 371,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,750.72 : 684,140.16 = 269,396.16 : x
  2. Step 2: Convert to fraction form
    495,750.72/684,140.16 = 269,396.16/x
  3. Step 3: Cross multiply
    495,750.72x = 684,140.16 × 269,396.16
  4. Step 4: Simplify right side
    495,750.72x = 184,304,732,005.79
  5. Step 5: Solve for x
    x = 184,304,732,005.79/495,750.72
  6. Step 6: Final answer
    x = 371,768.96

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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.