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Finding the Fourth Proportional to 333,566.48, 460,321.13 and 180,604.81

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Solution

The fourth proportional to 333,566.48, 460,321.13 and 180,604.81 is: 249,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,566.48 : 460,321.13 = 180,604.81 : x
  2. Step 2: Convert to fraction form
    333,566.48/460,321.13 = 180,604.81/x
  3. Step 3: Cross multiply
    333,566.48x = 460,321.13 × 180,604.81
  4. Step 4: Simplify right side
    333,566.48x = 83,136,211,528.30
  5. Step 5: Solve for x
    x = 83,136,211,528.30/333,566.48
  6. Step 6: Final answer
    x = 249,234.31

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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.