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Finding the Fourth Proportional to 316,885.96, 437,344.14 and 204,036.76

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Solution

The fourth proportional to 316,885.96, 437,344.14 and 204,036.76 is: 281,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,885.96 : 437,344.14 = 204,036.76 : x
  2. Step 2: Convert to fraction form
    316,885.96/437,344.14 = 204,036.76/x
  3. Step 3: Cross multiply
    316,885.96x = 437,344.14 × 204,036.76
  4. Step 4: Simplify right side
    316,885.96x = 89,234,281,330.59
  5. Step 5: Solve for x
    x = 89,234,281,330.59/316,885.96
  6. Step 6: Final answer
    x = 281,597.46

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1.5x scale

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.