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Finding the Fourth Proportional to 495,712.96, 684,082.60 and 269,358.48

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Solution

The fourth proportional to 495,712.96, 684,082.60 and 269,358.48 is: 371,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,712.96 : 684,082.60 = 269,358.48 : x
  2. Step 2: Convert to fraction form
    495,712.96/684,082.60 = 269,358.48/x
  3. Step 3: Cross multiply
    495,712.96x = 684,082.60 × 269,358.48
  4. Step 4: Simplify right side
    495,712.96x = 184,263,449,330.45
  5. Step 5: Solve for x
    x = 184,263,449,330.45/495,712.96
  6. Step 6: Final answer
    x = 371,714.00

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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.