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Finding the Fourth Proportional to 333,355.50, 460,031.81 and 180,393.68

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Solution

The fourth proportional to 333,355.50, 460,031.81 and 180,393.68 is: 248,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,355.50 : 460,031.81 = 180,393.68 : x
  2. Step 2: Convert to fraction form
    333,355.50/460,031.81 = 180,393.68/x
  3. Step 3: Cross multiply
    333,355.50x = 460,031.81 × 180,393.68
  4. Step 4: Simplify right side
    333,355.50x = 82,986,831,122.96
  5. Step 5: Solve for x
    x = 82,986,831,122.96/333,355.50
  6. Step 6: Final answer
    x = 248,943.94

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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.