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Finding the Fourth Proportional to 307,918.40, 462,223.20 and 238,107.20

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Solution

The fourth proportional to 307,918.40, 462,223.20 and 238,107.20 is: 357,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,918.40 : 462,223.20 = 238,107.20 : x
  2. Step 2: Convert to fraction form
    307,918.40/462,223.20 = 238,107.20/x
  3. Step 3: Cross multiply
    307,918.40x = 462,223.20 × 238,107.20
  4. Step 4: Simplify right side
    307,918.40x = 110,058,671,927.04
  5. Step 5: Solve for x
    x = 110,058,671,927.04/307,918.40
  6. Step 6: Final answer
    x = 357,428.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.