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Finding the Fourth Proportional to 470,783.44, 705,953.12 and 171,052.64

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Solution

The fourth proportional to 470,783.44, 705,953.12 and 171,052.64 is: 256,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,783.44 : 705,953.12 = 171,052.64 : x
  2. Step 2: Convert to fraction form
    470,783.44/705,953.12 = 171,052.64/x
  3. Step 3: Cross multiply
    470,783.44x = 705,953.12 × 171,052.64
  4. Step 4: Simplify right side
    470,783.44x = 120,755,144,892.24
  5. Step 5: Solve for x
    x = 120,755,144,892.24/470,783.44
  6. Step 6: Final answer
    x = 256,498.28

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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.