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Finding the Fourth Proportional to 478,168.37, 716,714.29 and 208,523.42

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Solution

The fourth proportional to 478,168.37, 716,714.29 and 208,523.42 is: 312,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,168.37 : 716,714.29 = 208,523.42 : x
  2. Step 2: Convert to fraction form
    478,168.37/716,714.29 = 208,523.42/x
  3. Step 3: Cross multiply
    478,168.37x = 716,714.29 × 208,523.42
  4. Step 4: Simplify right side
    478,168.37x = 149,451,714,913.67
  5. Step 5: Solve for x
    x = 149,451,714,913.67/478,168.37
  6. Step 6: Final answer
    x = 312,550.40

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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.