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Finding the Fourth Proportional to 432,006.70, 648,010.05 and 210,822.70

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Solution

The fourth proportional to 432,006.70, 648,010.05 and 210,822.70 is: 316,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,006.70 : 648,010.05 = 210,822.70 : x
  2. Step 2: Convert to fraction form
    432,006.70/648,010.05 = 210,822.70/x
  3. Step 3: Cross multiply
    432,006.70x = 648,010.05 × 210,822.70
  4. Step 4: Simplify right side
    432,006.70x = 136,615,228,368.14
  5. Step 5: Solve for x
    x = 136,615,228,368.14/432,006.70
  6. Step 6: Final answer
    x = 316,234.05

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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.