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Finding the Fourth Proportional to 307,422.30, 461,133.45 and 283,802.70

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Solution

The fourth proportional to 307,422.30, 461,133.45 and 283,802.70 is: 425,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,422.30 : 461,133.45 = 283,802.70 : x
  2. Step 2: Convert to fraction form
    307,422.30/461,133.45 = 283,802.70/x
  3. Step 3: Cross multiply
    307,422.30x = 461,133.45 × 283,802.70
  4. Step 4: Simplify right side
    307,422.30x = 130,870,918,170.32
  5. Step 5: Solve for x
    x = 130,870,918,170.32/307,422.30
  6. Step 6: Final answer
    x = 425,704.05

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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.