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Finding the Fourth Proportional to 470,913.48, 706,370.21 and 138,489.48

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Solution

The fourth proportional to 470,913.48, 706,370.21 and 138,489.48 is: 207,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,913.48 : 706,370.21 = 138,489.48 : x
  2. Step 2: Convert to fraction form
    470,913.48/706,370.21 = 138,489.48/x
  3. Step 3: Cross multiply
    470,913.48x = 706,370.21 × 138,489.48
  4. Step 4: Simplify right side
    470,913.48x = 97,824,842,377.94
  5. Step 5: Solve for x
    x = 97,824,842,377.94/470,913.48
  6. Step 6: Final answer
    x = 207,734.22

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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.