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Finding the Fourth Proportional to 384,321.44, 575,792.04 and 234,484.40

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Solution

The fourth proportional to 384,321.44, 575,792.04 and 234,484.40 is: 351,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,321.44 : 575,792.04 = 234,484.40 : x
  2. Step 2: Convert to fraction form
    384,321.44/575,792.04 = 234,484.40/x
  3. Step 3: Cross multiply
    384,321.44x = 575,792.04 × 234,484.40
  4. Step 4: Simplify right side
    384,321.44x = 135,014,251,024.18
  5. Step 5: Solve for x
    x = 135,014,251,024.18/384,321.44
  6. Step 6: Final answer
    x = 351,305.54

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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.