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Finding the Fourth Proportional to 467,564.08, 701,366.98 and 143,328.28

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Solution

The fourth proportional to 467,564.08, 701,366.98 and 143,328.28 is: 214,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,564.08 : 701,366.98 = 143,328.28 : x
  2. Step 2: Convert to fraction form
    467,564.08/701,366.98 = 143,328.28/x
  3. Step 3: Cross multiply
    467,564.08x = 701,366.98 × 143,328.28
  4. Step 4: Simplify right side
    467,564.08x = 100,525,722,892.19
  5. Step 5: Solve for x
    x = 100,525,722,892.19/467,564.08
  6. Step 6: Final answer
    x = 214,998.81

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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.