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Finding the Fourth Proportional to 495,873.14, 684,301.50 and 269,518.64

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Solution

The fourth proportional to 495,873.14, 684,301.50 and 269,518.64 is: 371,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,873.14 : 684,301.50 = 269,518.64 : x
  2. Step 2: Convert to fraction form
    495,873.14/684,301.50 = 269,518.64/x
  3. Step 3: Cross multiply
    495,873.14x = 684,301.50 × 269,518.64
  4. Step 4: Simplify right side
    495,873.14x = 184,432,006,208.45
  5. Step 5: Solve for x
    x = 184,432,006,208.45/495,873.14
  6. Step 6: Final answer
    x = 371,933.85

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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.