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Finding the Fourth Proportional to 497,056.82, 745,529.39 and 137,278.82

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Solution

The fourth proportional to 497,056.82, 745,529.39 and 137,278.82 is: 205,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,056.82 : 745,529.39 = 137,278.82 : x
  2. Step 2: Convert to fraction form
    497,056.82/745,529.39 = 137,278.82/x
  3. Step 3: Cross multiply
    497,056.82x = 745,529.39 × 137,278.82
  4. Step 4: Simplify right side
    497,056.82x = 102,345,394,088.41
  5. Step 5: Solve for x
    x = 102,345,394,088.41/497,056.82
  6. Step 6: Final answer
    x = 205,902.81

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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.