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Finding the Fourth Proportional to 407,638.47, 608,712.66 and 332,906.87

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Solution

The fourth proportional to 407,638.47, 608,712.66 and 332,906.87 is: 497,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,638.47 : 608,712.66 = 332,906.87 : x
  2. Step 2: Convert to fraction form
    407,638.47/608,712.66 = 332,906.87/x
  3. Step 3: Cross multiply
    407,638.47x = 608,712.66 × 332,906.87
  4. Step 4: Simplify right side
    407,638.47x = 202,644,623,326.41
  5. Step 5: Solve for x
    x = 202,644,623,326.41/407,638.47
  6. Step 6: Final answer
    x = 497,118.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.