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Finding the Fourth Proportional to 333,508.23, 460,240.82 and 180,546.38

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Solution

The fourth proportional to 333,508.23, 460,240.82 and 180,546.38 is: 249,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,508.23 : 460,240.82 = 180,546.38 : x
  2. Step 2: Convert to fraction form
    333,508.23/460,240.82 = 180,546.38/x
  3. Step 3: Cross multiply
    333,508.23x = 460,240.82 × 180,546.38
  4. Step 4: Simplify right side
    333,508.23x = 83,094,812,129.39
  5. Step 5: Solve for x
    x = 83,094,812,129.39/333,508.23
  6. Step 6: Final answer
    x = 249,153.71

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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.