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Finding the Fourth Proportional to 432,812.80, 649,256.10 and 113,007.10

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Solution

The fourth proportional to 432,812.80, 649,256.10 and 113,007.10 is: 169,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,812.80 : 649,256.10 = 113,007.10 : x
  2. Step 2: Convert to fraction form
    432,812.80/649,256.10 = 113,007.10/x
  3. Step 3: Cross multiply
    432,812.80x = 649,256.10 × 113,007.10
  4. Step 4: Simplify right side
    432,812.80x = 73,370,549,018.31
  5. Step 5: Solve for x
    x = 73,370,549,018.31/432,812.80
  6. Step 6: Final answer
    x = 169,520.28

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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.