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Finding the Fourth Proportional to 457,085.96, 685,712.46 and 141,521.48

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Solution

The fourth proportional to 457,085.96, 685,712.46 and 141,521.48 is: 212,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,085.96 : 685,712.46 = 141,521.48 : x
  2. Step 2: Convert to fraction form
    457,085.96/685,712.46 = 141,521.48/x
  3. Step 3: Cross multiply
    457,085.96x = 685,712.46 × 141,521.48
  4. Step 4: Simplify right side
    457,085.96x = 97,043,042,193.64
  5. Step 5: Solve for x
    x = 97,043,042,193.64/457,085.96
  6. Step 6: Final answer
    x = 212,308.08

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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.