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Finding the Fourth Proportional to 333,710.06, 460,516.20 and 180,744.44

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Solution

The fourth proportional to 333,710.06, 460,516.20 and 180,744.44 is: 249,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,710.06 : 460,516.20 = 180,744.44 : x
  2. Step 2: Convert to fraction form
    333,710.06/460,516.20 = 180,744.44/x
  3. Step 3: Cross multiply
    333,710.06x = 460,516.20 × 180,744.44
  4. Step 4: Simplify right side
    333,710.06x = 83,235,742,679.93
  5. Step 5: Solve for x
    x = 83,235,742,679.93/333,710.06
  6. Step 6: Final answer
    x = 249,425.33

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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.