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Finding the Fourth Proportional to 497,232.60, 745,848.90 and 419,472.60

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Solution

The fourth proportional to 497,232.60, 745,848.90 and 419,472.60 is: 629,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,232.60 : 745,848.90 = 419,472.60 : x
  2. Step 2: Convert to fraction form
    497,232.60/745,848.90 = 419,472.60/x
  3. Step 3: Cross multiply
    497,232.60x = 745,848.90 × 419,472.60
  4. Step 4: Simplify right side
    497,232.60x = 312,863,177,290.14
  5. Step 5: Solve for x
    x = 312,863,177,290.14/497,232.60
  6. Step 6: Final answer
    x = 629,208.90

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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.