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Finding the Fourth Proportional to 453,596.76, 680,548.10 and 200,842.74

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Solution

The fourth proportional to 453,596.76, 680,548.10 and 200,842.74 is: 301,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,596.76 : 680,548.10 = 200,842.74 : x
  2. Step 2: Convert to fraction form
    453,596.76/680,548.10 = 200,842.74/x
  3. Step 3: Cross multiply
    453,596.76x = 680,548.10 × 200,842.74
  4. Step 4: Simplify right side
    453,596.76x = 136,683,144,101.58
  5. Step 5: Solve for x
    x = 136,683,144,101.58/453,596.76
  6. Step 6: Final answer
    x = 301,331.84

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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.