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Finding the Fourth Proportional to 307,335.30, 423,964.62 and 205,328.16

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Solution

The fourth proportional to 307,335.30, 423,964.62 and 205,328.16 is: 283,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,335.30 : 423,964.62 = 205,328.16 : x
  2. Step 2: Convert to fraction form
    307,335.30/423,964.62 = 205,328.16/x
  3. Step 3: Cross multiply
    307,335.30x = 423,964.62 × 205,328.16
  4. Step 4: Simplify right side
    307,335.30x = 87,051,875,329.70
  5. Step 5: Solve for x
    x = 87,051,875,329.70/307,335.30
  6. Step 6: Final answer
    x = 283,247.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.