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Finding the Fourth Proportional to 470,600.17, 706,010.96 and 155,057.06

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Solution

The fourth proportional to 470,600.17, 706,010.96 and 155,057.06 is: 232,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,600.17 : 706,010.96 = 155,057.06 : x
  2. Step 2: Convert to fraction form
    470,600.17/706,010.96 = 155,057.06/x
  3. Step 3: Cross multiply
    470,600.17x = 706,010.96 × 155,057.06
  4. Step 4: Simplify right side
    470,600.17x = 109,471,985,938.05
  5. Step 5: Solve for x
    x = 109,471,985,938.05/470,600.17
  6. Step 6: Final answer
    x = 232,622.07

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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.