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Finding the Fourth Proportional to 470,774.60, 705,939.42 and 171,046.16

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Solution

The fourth proportional to 470,774.60, 705,939.42 and 171,046.16 is: 256,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,774.60 : 705,939.42 = 171,046.16 : x
  2. Step 2: Convert to fraction form
    470,774.60/705,939.42 = 171,046.16/x
  3. Step 3: Cross multiply
    470,774.60x = 705,939.42 × 171,046.16
  4. Step 4: Simplify right side
    470,774.60x = 120,748,226,983.63
  5. Step 5: Solve for x
    x = 120,748,226,983.63/470,774.60
  6. Step 6: Final answer
    x = 256,488.41

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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.