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Finding the Fourth Proportional to 470,735.38, 706,096.91 and 115,752.48

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Solution

The fourth proportional to 470,735.38, 706,096.91 and 115,752.48 is: 173,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,735.38 : 706,096.91 = 115,752.48 : x
  2. Step 2: Convert to fraction form
    470,735.38/706,096.91 = 115,752.48/x
  3. Step 3: Cross multiply
    470,735.38x = 706,096.91 × 115,752.48
  4. Step 4: Simplify right side
    470,735.38x = 81,732,466,094.35
  5. Step 5: Solve for x
    x = 81,732,466,094.35/470,735.38
  6. Step 6: Final answer
    x = 173,627.20

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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.