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Finding the Fourth Proportional to 421,641.96, 632,507.34 and 137,354.76

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Solution

The fourth proportional to 421,641.96, 632,507.34 and 137,354.76 is: 206,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,641.96 : 632,507.34 = 137,354.76 : x
  2. Step 2: Convert to fraction form
    421,641.96/632,507.34 = 137,354.76/x
  3. Step 3: Cross multiply
    421,641.96x = 632,507.34 × 137,354.76
  4. Step 4: Simplify right side
    421,641.96x = 86,877,893,883.94
  5. Step 5: Solve for x
    x = 86,877,893,883.94/421,641.96
  6. Step 6: Final answer
    x = 206,046.60

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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.