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Finding the Fourth Proportional to 432,815.45, 649,223.18 and 432,815.45

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Solution

The fourth proportional to 432,815.45, 649,223.18 and 432,815.45 is: 649,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,815.45 : 649,223.18 = 432,815.45 : x
  2. Step 2: Convert to fraction form
    432,815.45/649,223.18 = 432,815.45/x
  3. Step 3: Cross multiply
    432,815.45x = 649,223.18 × 432,815.45
  4. Step 4: Simplify right side
    432,815.45x = 280,993,822,802.13
  5. Step 5: Solve for x
    x = 280,993,822,802.13/432,815.45
  6. Step 6: Final answer
    x = 649,223.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.