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Finding the Fourth Proportional to 922,177, 1,272,604.26 and 498,241

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Solution

The fourth proportional to 922,177, 1,272,604.26 and 498,241 is: 687,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,177 : 1,272,604.26 = 498,241 : x
  2. Step 2: Convert to fraction form
    922,177/1,272,604.26 = 498,241/x
  3. Step 3: Cross multiply
    922,177x = 1,272,604.26 × 498,241
  4. Step 4: Simplify right side
    922,177x = 634,063,619,106.66
  5. Step 5: Solve for x
    x = 634,063,619,106.66/922,177
  6. Step 6: Final answer
    x = 687,572.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.