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Finding the Fourth Proportional to 470,230.72, 705,394.72 and 154,687.20

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Solution

The fourth proportional to 470,230.72, 705,394.72 and 154,687.20 is: 232,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,230.72 : 705,394.72 = 154,687.20 : x
  2. Step 2: Convert to fraction form
    470,230.72/705,394.72 = 154,687.20/x
  3. Step 3: Cross multiply
    470,230.72x = 705,394.72 × 154,687.20
  4. Step 4: Simplify right side
    470,230.72x = 109,115,534,131.58
  5. Step 5: Solve for x
    x = 109,115,534,131.58/470,230.72
  6. Step 6: Final answer
    x = 232,046.80

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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.