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Finding the Fourth Proportional to 686,838.70, 947,895.64 and 381,013.62

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Solution

The fourth proportional to 686,838.70, 947,895.64 and 381,013.62 is: 525,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,838.70 : 947,895.64 = 381,013.62 : x
  2. Step 2: Convert to fraction form
    686,838.70/947,895.64 = 381,013.62/x
  3. Step 3: Cross multiply
    686,838.70x = 947,895.64 × 381,013.62
  4. Step 4: Simplify right side
    686,838.70x = 361,161,149,178.62
  5. Step 5: Solve for x
    x = 361,161,149,178.62/686,838.70
  6. Step 6: Final answer
    x = 525,831.10

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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.