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Finding the Fourth Proportional to 432,082.20, 648,123.30 and 325,637.40

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Solution

The fourth proportional to 432,082.20, 648,123.30 and 325,637.40 is: 488,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,082.20 : 648,123.30 = 325,637.40 : x
  2. Step 2: Convert to fraction form
    432,082.20/648,123.30 = 325,637.40/x
  3. Step 3: Cross multiply
    432,082.20x = 648,123.30 × 325,637.40
  4. Step 4: Simplify right side
    432,082.20x = 211,053,186,291.42
  5. Step 5: Solve for x
    x = 211,053,186,291.42/432,082.20
  6. Step 6: Final answer
    x = 488,456.10

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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.