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Finding the Fourth Proportional to 333,578.90, 460,335.43 and 180,614.46

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Solution

The fourth proportional to 333,578.90, 460,335.43 and 180,614.46 is: 249,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,578.90 : 460,335.43 = 180,614.46 : x
  2. Step 2: Convert to fraction form
    333,578.90/460,335.43 = 180,614.46/x
  3. Step 3: Cross multiply
    333,578.90x = 460,335.43 × 180,614.46
  4. Step 4: Simplify right side
    333,578.90x = 83,143,235,108.32
  5. Step 5: Solve for x
    x = 83,143,235,108.32/333,578.90
  6. Step 6: Final answer
    x = 249,246.09

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Why These Related Problems?

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