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Finding the Fourth Proportional to 470,167.13, 705,249.15 and 170,647.31

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Solution

The fourth proportional to 470,167.13, 705,249.15 and 170,647.31 is: 255,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,167.13 : 705,249.15 = 170,647.31 : x
  2. Step 2: Convert to fraction form
    470,167.13/705,249.15 = 170,647.31/x
  3. Step 3: Cross multiply
    470,167.13x = 705,249.15 × 170,647.31
  4. Step 4: Simplify right side
    470,167.13x = 120,348,870,327.29
  5. Step 5: Solve for x
    x = 120,348,870,327.29/470,167.13
  6. Step 6: Final answer
    x = 255,970.40

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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.