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Finding the Fourth Proportional to 495,169.86, 683,350.80 and 280,305.48

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Solution

The fourth proportional to 495,169.86, 683,350.80 and 280,305.48 is: 386,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,169.86 : 683,350.80 = 280,305.48 : x
  2. Step 2: Convert to fraction form
    495,169.86/683,350.80 = 280,305.48/x
  3. Step 3: Cross multiply
    495,169.86x = 683,350.80 × 280,305.48
  4. Step 4: Simplify right side
    495,169.86x = 191,546,974,002.38
  5. Step 5: Solve for x
    x = 191,546,974,002.38/495,169.86
  6. Step 6: Final answer
    x = 386,830.84

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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.