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Finding the Fourth Proportional to 686,792.91, 947,774.28 and 380,916.06

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Solution

The fourth proportional to 686,792.91, 947,774.28 and 380,916.06 is: 525,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,792.91 : 947,774.28 = 380,916.06 : x
  2. Step 2: Convert to fraction form
    686,792.91/947,774.28 = 380,916.06/x
  3. Step 3: Cross multiply
    686,792.91x = 947,774.28 × 380,916.06
  4. Step 4: Simplify right side
    686,792.91x = 361,022,444,506.94
  5. Step 5: Solve for x
    x = 361,022,444,506.94/686,792.91
  6. Step 6: Final answer
    x = 525,664.20

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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.