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Finding the Fourth Proportional to 382,209.40, 573,314.10 and 340,875.10

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Solution

The fourth proportional to 382,209.40, 573,314.10 and 340,875.10 is: 511,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,209.40 : 573,314.10 = 340,875.10 : x
  2. Step 2: Convert to fraction form
    382,209.40/573,314.10 = 340,875.10/x
  3. Step 3: Cross multiply
    382,209.40x = 573,314.10 × 340,875.10
  4. Step 4: Simplify right side
    382,209.40x = 195,428,501,168.91
  5. Step 5: Solve for x
    x = 195,428,501,168.91/382,209.40
  6. Step 6: Final answer
    x = 511,312.65

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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.