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Finding the Fourth Proportional to 432,446.34, 648,700.84 and 166,207.18

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Solution

The fourth proportional to 432,446.34, 648,700.84 and 166,207.18 is: 249,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,446.34 : 648,700.84 = 166,207.18 : x
  2. Step 2: Convert to fraction form
    432,446.34/648,700.84 = 166,207.18/x
  3. Step 3: Cross multiply
    432,446.34x = 648,700.84 × 166,207.18
  4. Step 4: Simplify right side
    432,446.34x = 107,818,737,280.03
  5. Step 5: Solve for x
    x = 107,818,737,280.03/432,446.34
  6. Step 6: Final answer
    x = 249,322.81

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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.