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Finding the Fourth Proportional to 517,243.20, 714,244.14 and 381,512.40

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Solution

The fourth proportional to 517,243.20, 714,244.14 and 381,512.40 is: 526,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,243.20 : 714,244.14 = 381,512.40 : x
  2. Step 2: Convert to fraction form
    517,243.20/714,244.14 = 381,512.40/x
  3. Step 3: Cross multiply
    517,243.20x = 714,244.14 × 381,512.40
  4. Step 4: Simplify right side
    517,243.20x = 272,492,996,037.34
  5. Step 5: Solve for x
    x = 272,492,996,037.34/517,243.20
  6. Step 6: Final answer
    x = 526,817.94

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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.