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Finding the Fourth Proportional to 470,914.52, 706,371.84 and 138,490.52

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Solution

The fourth proportional to 470,914.52, 706,371.84 and 138,490.52 is: 207,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,914.52 : 706,371.84 = 138,490.52 : x
  2. Step 2: Convert to fraction form
    470,914.52/706,371.84 = 138,490.52/x
  3. Step 3: Cross multiply
    470,914.52x = 706,371.84 × 138,490.52
  4. Step 4: Simplify right side
    470,914.52x = 97,825,799,903.10
  5. Step 5: Solve for x
    x = 97,825,799,903.10/470,914.52
  6. Step 6: Final answer
    x = 207,735.79

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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.