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Finding the Fourth Proportional to 497,304.60, 746,607.34 and 295,269.54

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Solution

The fourth proportional to 497,304.60, 746,607.34 and 295,269.54 is: 443,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,304.60 : 746,607.34 = 295,269.54 : x
  2. Step 2: Convert to fraction form
    497,304.60/746,607.34 = 295,269.54/x
  3. Step 3: Cross multiply
    497,304.60x = 746,607.34 × 295,269.54
  4. Step 4: Simplify right side
    497,304.60x = 220,450,405,842.42
  5. Step 5: Solve for x
    x = 220,450,405,842.42/497,304.60
  6. Step 6: Final answer
    x = 443,290.50

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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.