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Finding the Fourth Proportional to 382,320.36, 570,254.25 and 332,004.78

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Solution

The fourth proportional to 382,320.36, 570,254.25 and 332,004.78 is: 495,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,320.36 : 570,254.25 = 332,004.78 : x
  2. Step 2: Convert to fraction form
    382,320.36/570,254.25 = 332,004.78/x
  3. Step 3: Cross multiply
    382,320.36x = 570,254.25 × 332,004.78
  4. Step 4: Simplify right side
    382,320.36x = 189,327,136,815.32
  5. Step 5: Solve for x
    x = 189,327,136,815.32/382,320.36
  6. Step 6: Final answer
    x = 495,205.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.