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Finding the Fourth Proportional to 288,940.40, 432,565.80 and 205,996.40

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Solution

The fourth proportional to 288,940.40, 432,565.80 and 205,996.40 is: 308,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,940.40 : 432,565.80 = 205,996.40 : x
  2. Step 2: Convert to fraction form
    288,940.40/432,565.80 = 205,996.40/x
  3. Step 3: Cross multiply
    288,940.40x = 432,565.80 × 205,996.40
  4. Step 4: Simplify right side
    288,940.40x = 89,106,997,563.12
  5. Step 5: Solve for x
    x = 89,106,997,563.12/288,940.40
  6. Step 6: Final answer
    x = 308,392.31

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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.