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Finding the Fourth Proportional to 433,680.64, 598,488.24 and 261,597.76

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Solution

The fourth proportional to 433,680.64, 598,488.24 and 261,597.76 is: 361,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,680.64 : 598,488.24 = 261,597.76 : x
  2. Step 2: Convert to fraction form
    433,680.64/598,488.24 = 261,597.76/x
  3. Step 3: Cross multiply
    433,680.64x = 598,488.24 × 261,597.76
  4. Step 4: Simplify right side
    433,680.64x = 156,563,182,970.34
  5. Step 5: Solve for x
    x = 156,563,182,970.34/433,680.64
  6. Step 6: Final answer
    x = 361,010.31

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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.