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Finding the Fourth Proportional to 319,064.40, 478,596.60 and 311,191.20

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Solution

The fourth proportional to 319,064.40, 478,596.60 and 311,191.20 is: 466,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,064.40 : 478,596.60 = 311,191.20 : x
  2. Step 2: Convert to fraction form
    319,064.40/478,596.60 = 311,191.20/x
  3. Step 3: Cross multiply
    319,064.40x = 478,596.60 × 311,191.20
  4. Step 4: Simplify right side
    319,064.40x = 148,935,050,269.92
  5. Step 5: Solve for x
    x = 148,935,050,269.92/319,064.40
  6. Step 6: Final answer
    x = 466,786.80

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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.