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Finding the Fourth Proportional to 470,221.14, 705,109.34 and 182,167.74

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Solution

The fourth proportional to 470,221.14, 705,109.34 and 182,167.74 is: 273,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,221.14 : 705,109.34 = 182,167.74 : x
  2. Step 2: Convert to fraction form
    470,221.14/705,109.34 = 182,167.74/x
  3. Step 3: Cross multiply
    470,221.14x = 705,109.34 × 182,167.74
  4. Step 4: Simplify right side
    470,221.14x = 128,448,174,920.69
  5. Step 5: Solve for x
    x = 128,448,174,920.69/470,221.14
  6. Step 6: Final answer
    x = 273,165.46

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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.