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Finding the Fourth Proportional to 470,887.47, 706,331.22 and 138,463.47

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Solution

The fourth proportional to 470,887.47, 706,331.22 and 138,463.47 is: 207,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,887.47 : 706,331.22 = 138,463.47 : x
  2. Step 2: Convert to fraction form
    470,887.47/706,331.22 = 138,463.47/x
  3. Step 3: Cross multiply
    470,887.47x = 706,331.22 × 138,463.47
  4. Step 4: Simplify right side
    470,887.47x = 97,801,071,690.53
  5. Step 5: Solve for x
    x = 97,801,071,690.53/470,887.47
  6. Step 6: Final answer
    x = 207,695.21

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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.