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Finding the Fourth Proportional to 333,474.38, 460,194.90 and 180,512.10

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Solution

The fourth proportional to 333,474.38, 460,194.90 and 180,512.10 is: 249,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,474.38 : 460,194.90 = 180,512.10 : x
  2. Step 2: Convert to fraction form
    333,474.38/460,194.90 = 180,512.10/x
  3. Step 3: Cross multiply
    333,474.38x = 460,194.90 × 180,512.10
  4. Step 4: Simplify right side
    333,474.38x = 83,070,747,808.29
  5. Step 5: Solve for x
    x = 83,070,747,808.29/333,474.38
  6. Step 6: Final answer
    x = 249,106.84

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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.