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Finding the Fourth Proportional to 311,875.40, 430,436.58 and 204,756.14

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Solution

The fourth proportional to 311,875.40, 430,436.58 and 204,756.14 is: 282,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,875.40 : 430,436.58 = 204,756.14 : x
  2. Step 2: Convert to fraction form
    311,875.40/430,436.58 = 204,756.14/x
  3. Step 3: Cross multiply
    311,875.40x = 430,436.58 × 204,756.14
  4. Step 4: Simplify right side
    311,875.40x = 88,134,532,635.60
  5. Step 5: Solve for x
    x = 88,134,532,635.60/311,875.40
  6. Step 6: Final answer
    x = 282,595.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.