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Finding the Fourth Proportional to 686,439.84, 947,239.20 and 380,513.28

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Solution

The fourth proportional to 686,439.84, 947,239.20 and 380,513.28 is: 525,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,439.84 : 947,239.20 = 380,513.28 : x
  2. Step 2: Convert to fraction form
    686,439.84/947,239.20 = 380,513.28/x
  3. Step 3: Cross multiply
    686,439.84x = 947,239.20 × 380,513.28
  4. Step 4: Simplify right side
    686,439.84x = 360,437,094,936.58
  5. Step 5: Solve for x
    x = 360,437,094,936.58/686,439.84
  6. Step 6: Final answer
    x = 525,081.84

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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.