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Finding the Fourth Proportional to 470,516.70, 705,775.05 and 271,451.10

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Solution

The fourth proportional to 470,516.70, 705,775.05 and 271,451.10 is: 407,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,516.70 : 705,775.05 = 271,451.10 : x
  2. Step 2: Convert to fraction form
    470,516.70/705,775.05 = 271,451.10/x
  3. Step 3: Cross multiply
    470,516.70x = 705,775.05 × 271,451.10
  4. Step 4: Simplify right side
    470,516.70x = 191,583,413,675.06
  5. Step 5: Solve for x
    x = 191,583,413,675.06/470,516.70
  6. Step 6: Final answer
    x = 407,176.65

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Similar ratio
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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.