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Finding the Fourth Proportional to 686,645.82, 947,582.61 and 380,735.10

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Solution

The fourth proportional to 686,645.82, 947,582.61 and 380,735.10 is: 525,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,645.82 : 947,582.61 = 380,735.10 : x
  2. Step 2: Convert to fraction form
    686,645.82/947,582.61 = 380,735.10/x
  3. Step 3: Cross multiply
    686,645.82x = 947,582.61 × 380,735.10
  4. Step 4: Simplify right side
    686,645.82x = 360,777,959,776.61
  5. Step 5: Solve for x
    x = 360,777,959,776.61/686,645.82
  6. Step 6: Final answer
    x = 525,420.75

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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.