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Finding the Fourth Proportional to 470,705.04, 706,103.76 and 133,761.24

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Solution

The fourth proportional to 470,705.04, 706,103.76 and 133,761.24 is: 200,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,705.04 : 706,103.76 = 133,761.24 : x
  2. Step 2: Convert to fraction form
    470,705.04/706,103.76 = 133,761.24/x
  3. Step 3: Cross multiply
    470,705.04x = 706,103.76 × 133,761.24
  4. Step 4: Simplify right side
    470,705.04x = 94,449,314,506.26
  5. Step 5: Solve for x
    x = 94,449,314,506.26/470,705.04
  6. Step 6: Final answer
    x = 200,654.99

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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.