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Finding the Fourth Proportional to 495,777.90, 684,177.84 and 269,423.40

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Solution

The fourth proportional to 495,777.90, 684,177.84 and 269,423.40 is: 371,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,777.90 : 684,177.84 = 269,423.40 : x
  2. Step 2: Convert to fraction form
    495,777.90/684,177.84 = 269,423.40/x
  3. Step 3: Cross multiply
    495,777.90x = 684,177.84 × 269,423.40
  4. Step 4: Simplify right side
    495,777.90x = 184,333,519,857.46
  5. Step 5: Solve for x
    x = 184,333,519,857.46/495,777.90
  6. Step 6: Final answer
    x = 371,806.65

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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.