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Finding the Fourth Proportional to 287,945.34, 431,581.74 and 216,638.91

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Solution

The fourth proportional to 287,945.34, 431,581.74 and 216,638.91 is: 324,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,945.34 : 431,581.74 = 216,638.91 : x
  2. Step 2: Convert to fraction form
    287,945.34/431,581.74 = 216,638.91/x
  3. Step 3: Cross multiply
    287,945.34x = 431,581.74 × 216,638.91
  4. Step 4: Simplify right side
    287,945.34x = 93,497,397,729.50
  5. Step 5: Solve for x
    x = 93,497,397,729.50/287,945.34
  6. Step 6: Final answer
    x = 324,705.37

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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.