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Finding the Fourth Proportional to 432,506.34, 648,898.29 and 207,883.05

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Solution

The fourth proportional to 432,506.34, 648,898.29 and 207,883.05 is: 311,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,506.34 : 648,898.29 = 207,883.05 : x
  2. Step 2: Convert to fraction form
    432,506.34/648,898.29 = 207,883.05/x
  3. Step 3: Cross multiply
    432,506.34x = 648,898.29 × 207,883.05
  4. Step 4: Simplify right side
    432,506.34x = 134,894,955,664.99
  5. Step 5: Solve for x
    x = 134,894,955,664.99/432,506.34
  6. Step 6: Final answer
    x = 311,891.28

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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.