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Finding the Fourth Proportional to 430,306.20, 644,197.50 and 301,777.02

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Solution

The fourth proportional to 430,306.20, 644,197.50 and 301,777.02 is: 451,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,306.20 : 644,197.50 = 301,777.02 : x
  2. Step 2: Convert to fraction form
    430,306.20/644,197.50 = 301,777.02/x
  3. Step 3: Cross multiply
    430,306.20x = 644,197.50 × 301,777.02
  4. Step 4: Simplify right side
    430,306.20x = 194,404,001,841.45
  5. Step 5: Solve for x
    x = 194,404,001,841.45/430,306.20
  6. Step 6: Final answer
    x = 451,780.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.