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Finding the Fourth Proportional to 470,901.88, 706,796.70 and 171,671.68

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Solution

The fourth proportional to 470,901.88, 706,796.70 and 171,671.68 is: 257,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,901.88 : 706,796.70 = 171,671.68 : x
  2. Step 2: Convert to fraction form
    470,901.88/706,796.70 = 171,671.68/x
  3. Step 3: Cross multiply
    470,901.88x = 706,796.70 × 171,671.68
  4. Step 4: Simplify right side
    470,901.88x = 121,336,976,907.46
  5. Step 5: Solve for x
    x = 121,336,976,907.46/470,901.88
  6. Step 6: Final answer
    x = 257,669.34

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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.