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Finding the Fourth Proportional to 432,852.45, 649,278.68 and 432,852.45

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Solution

The fourth proportional to 432,852.45, 649,278.68 and 432,852.45 is: 649,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,852.45 : 649,278.68 = 432,852.45 : x
  2. Step 2: Convert to fraction form
    432,852.45/649,278.68 = 432,852.45/x
  3. Step 3: Cross multiply
    432,852.45x = 649,278.68 × 432,852.45
  4. Step 4: Simplify right side
    432,852.45x = 281,041,865,206.50
  5. Step 5: Solve for x
    x = 281,041,865,206.50/432,852.45
  6. Step 6: Final answer
    x = 649,278.68

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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.