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Finding the Fourth Proportional to 333,681.62, 460,478.30 and 180,716.36

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Solution

The fourth proportional to 333,681.62, 460,478.30 and 180,716.36 is: 249,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,681.62 : 460,478.30 = 180,716.36 : x
  2. Step 2: Convert to fraction form
    333,681.62/460,478.30 = 180,716.36/x
  3. Step 3: Cross multiply
    333,681.62x = 460,478.30 × 180,716.36
  4. Step 4: Simplify right side
    333,681.62x = 83,215,959,029.01
  5. Step 5: Solve for x
    x = 83,215,959,029.01/333,681.62
  6. Step 6: Final answer
    x = 249,387.31

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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.