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Finding the Fourth Proportional to 383,854.18, 575,781.28 and 196,746.34

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Solution

The fourth proportional to 383,854.18, 575,781.28 and 196,746.34 is: 295,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854.18 : 575,781.28 = 196,746.34 : x
  2. Step 2: Convert to fraction form
    383,854.18/575,781.28 = 196,746.34/x
  3. Step 3: Cross multiply
    383,854.18x = 575,781.28 × 196,746.34
  4. Step 4: Simplify right side
    383,854.18x = 113,282,859,480.52
  5. Step 5: Solve for x
    x = 113,282,859,480.52/383,854.18
  6. Step 6: Final answer
    x = 295,119.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.