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Finding the Fourth Proportional to 432,443.34, 648,696.33 and 166,204.17

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Solution

The fourth proportional to 432,443.34, 648,696.33 and 166,204.17 is: 249,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,443.34 : 648,696.33 = 166,204.17 : x
  2. Step 2: Convert to fraction form
    432,443.34/648,696.33 = 166,204.17/x
  3. Step 3: Cross multiply
    432,443.34x = 648,696.33 × 166,204.17
  4. Step 4: Simplify right side
    432,443.34x = 107,816,035,109.70
  5. Step 5: Solve for x
    x = 107,816,035,109.70/432,443.34
  6. Step 6: Final answer
    x = 249,318.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.