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Finding the Fourth Proportional to 470,657.79, 705,210.75 and 271,145.97

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Solution

The fourth proportional to 470,657.79, 705,210.75 and 271,145.97 is: 406,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,657.79 : 705,210.75 = 271,145.97 : x
  2. Step 2: Convert to fraction form
    470,657.79/705,210.75 = 271,145.97/x
  3. Step 3: Cross multiply
    470,657.79x = 705,210.75 × 271,145.97
  4. Step 4: Simplify right side
    470,657.79x = 191,215,052,863.18
  5. Step 5: Solve for x
    x = 191,215,052,863.18/470,657.79
  6. Step 6: Final answer
    x = 406,271.94

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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.