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Finding the Fourth Proportional to 382,421.48, 571,953.18 and 340,596.20

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Solution

The fourth proportional to 382,421.48, 571,953.18 and 340,596.20 is: 509,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,421.48 : 571,953.18 = 340,596.20 : x
  2. Step 2: Convert to fraction form
    382,421.48/571,953.18 = 340,596.20/x
  3. Step 3: Cross multiply
    382,421.48x = 571,953.18 × 340,596.20
  4. Step 4: Simplify right side
    382,421.48x = 194,805,079,685.92
  5. Step 5: Solve for x
    x = 194,805,079,685.92/382,421.48
  6. Step 6: Final answer
    x = 509,398.90

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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.