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Finding the Fourth Proportional to 316,884.96, 437,342.76 and 204,035.76

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Solution

The fourth proportional to 316,884.96, 437,342.76 and 204,035.76 is: 281,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,884.96 : 437,342.76 = 204,035.76 : x
  2. Step 2: Convert to fraction form
    316,884.96/437,342.76 = 204,035.76/x
  3. Step 3: Cross multiply
    316,884.96x = 437,342.76 × 204,035.76
  4. Step 4: Simplify right side
    316,884.96x = 89,233,562,417.10
  5. Step 5: Solve for x
    x = 89,233,562,417.10/316,884.96
  6. Step 6: Final answer
    x = 281,596.08

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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.