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Finding the Fourth Proportional to 457,077.54, 685,630.90 and 141,537.18

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Solution

The fourth proportional to 457,077.54, 685,630.90 and 141,537.18 is: 212,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,077.54 : 685,630.90 = 141,537.18 : x
  2. Step 2: Convert to fraction form
    457,077.54/685,630.90 = 141,537.18/x
  3. Step 3: Cross multiply
    457,077.54x = 685,630.90 × 141,537.18
  4. Step 4: Simplify right side
    457,077.54x = 97,042,264,106.86
  5. Step 5: Solve for x
    x = 97,042,264,106.86/457,077.54
  6. Step 6: Final answer
    x = 212,310.29

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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.