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Finding the Fourth Proportional to 404,077.96, 557,866.80 and 359,242.12

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Solution

The fourth proportional to 404,077.96, 557,866.80 and 359,242.12 is: 495,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,077.96 : 557,866.80 = 359,242.12 : x
  2. Step 2: Convert to fraction form
    404,077.96/557,866.80 = 359,242.12/x
  3. Step 3: Cross multiply
    404,077.96x = 557,866.80 × 359,242.12
  4. Step 4: Simplify right side
    404,077.96x = 200,409,251,909.62
  5. Step 5: Solve for x
    x = 200,409,251,909.62/404,077.96
  6. Step 6: Final answer
    x = 495,966.80

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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.