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Finding the Fourth Proportional to 470,718.96, 705,856.56 and 170,988.24

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Solution

The fourth proportional to 470,718.96, 705,856.56 and 170,988.24 is: 256,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,718.96 : 705,856.56 = 170,988.24 : x
  2. Step 2: Convert to fraction form
    470,718.96/705,856.56 = 170,988.24/x
  3. Step 3: Cross multiply
    470,718.96x = 705,856.56 × 170,988.24
  4. Step 4: Simplify right side
    470,718.96x = 120,693,170,886.85
  5. Step 5: Solve for x
    x = 120,693,170,886.85/470,718.96
  6. Step 6: Final answer
    x = 256,401.76

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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.