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Finding the Fourth Proportional to 509,363.40, 764,044.26 and 135,386.40

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Solution

The fourth proportional to 509,363.40, 764,044.26 and 135,386.40 is: 203,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,363.40 : 764,044.26 = 135,386.40 : x
  2. Step 2: Convert to fraction form
    509,363.40/764,044.26 = 135,386.40/x
  3. Step 3: Cross multiply
    509,363.40x = 764,044.26 × 135,386.40
  4. Step 4: Simplify right side
    509,363.40x = 103,441,201,802.06
  5. Step 5: Solve for x
    x = 103,441,201,802.06/509,363.40
  6. Step 6: Final answer
    x = 203,079.38

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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.