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Finding the Fourth Proportional to 478,148.86, 716,744.06 and 222,161.26

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Solution

The fourth proportional to 478,148.86, 716,744.06 and 222,161.26 is: 333,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,148.86 : 716,744.06 = 222,161.26 : x
  2. Step 2: Convert to fraction form
    478,148.86/716,744.06 = 222,161.26/x
  3. Step 3: Cross multiply
    478,148.86x = 716,744.06 × 222,161.26
  4. Step 4: Simplify right side
    478,148.86x = 159,232,763,467.12
  5. Step 5: Solve for x
    x = 159,232,763,467.12/478,148.86
  6. Step 6: Final answer
    x = 333,019.23

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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.