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Finding the Fourth Proportional to 470,086.35, 705,409.64 and 170,590.29

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Solution

The fourth proportional to 470,086.35, 705,409.64 and 170,590.29 is: 255,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,086.35 : 705,409.64 = 170,590.29 : x
  2. Step 2: Convert to fraction form
    470,086.35/705,409.64 = 170,590.29/x
  3. Step 3: Cross multiply
    470,086.35x = 705,409.64 × 170,590.29
  4. Step 4: Simplify right side
    470,086.35x = 120,336,034,203.44
  5. Step 5: Solve for x
    x = 120,336,034,203.44/470,086.35
  6. Step 6: Final answer
    x = 255,987.08

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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.