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Finding the Fourth Proportional to 470,897.88, 706,790.70 and 171,667.68

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Solution

The fourth proportional to 470,897.88, 706,790.70 and 171,667.68 is: 257,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.88 : 706,790.70 = 171,667.68 : x
  2. Step 2: Convert to fraction form
    470,897.88/706,790.70 = 171,667.68/x
  3. Step 3: Cross multiply
    470,897.88x = 706,790.70 × 171,667.68
  4. Step 4: Simplify right side
    470,897.88x = 121,333,119,714.58
  5. Step 5: Solve for x
    x = 121,333,119,714.58/470,897.88
  6. Step 6: Final answer
    x = 257,663.34

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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.