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Finding the Fourth Proportional to 470,077.57, 705,396.53 and 170,581.51

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Solution

The fourth proportional to 470,077.57, 705,396.53 and 170,581.51 is: 255,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,077.57 : 705,396.53 = 170,581.51 : x
  2. Step 2: Convert to fraction form
    470,077.57/705,396.53 = 170,581.51/x
  3. Step 3: Cross multiply
    470,077.57x = 705,396.53 × 170,581.51
  4. Step 4: Simplify right side
    470,077.57x = 120,327,605,236.16
  5. Step 5: Solve for x
    x = 120,327,605,236.16/470,077.57
  6. Step 6: Final answer
    x = 255,973.93

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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.