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Finding the Fourth Proportional to 423,930.96, 585,024.57 and 232,956.65

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Solution

The fourth proportional to 423,930.96, 585,024.57 and 232,956.65 is: 321,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,930.96 : 585,024.57 = 232,956.65 : x
  2. Step 2: Convert to fraction form
    423,930.96/585,024.57 = 232,956.65/x
  3. Step 3: Cross multiply
    423,930.96x = 585,024.57 × 232,956.65
  4. Step 4: Simplify right side
    423,930.96x = 136,285,365,457.45
  5. Step 5: Solve for x
    x = 136,285,365,457.45/423,930.96
  6. Step 6: Final answer
    x = 321,480.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.