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Finding the Fourth Proportional to 432,853.45, 649,280.18 and 432,853.45

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Solution

The fourth proportional to 432,853.45, 649,280.18 and 432,853.45 is: 649,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,853.45 : 649,280.18 = 432,853.45 : x
  2. Step 2: Convert to fraction form
    432,853.45/649,280.18 = 432,853.45/x
  3. Step 3: Cross multiply
    432,853.45x = 649,280.18 × 432,853.45
  4. Step 4: Simplify right side
    432,853.45x = 281,043,165,929.62
  5. Step 5: Solve for x
    x = 281,043,165,929.62/432,853.45
  6. Step 6: Final answer
    x = 649,280.18

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1.5x scale

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.