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Finding the Fourth Proportional to 686,252.48, 947,066.19 and 380,322.50

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Solution

The fourth proportional to 686,252.48, 947,066.19 and 380,322.50 is: 524,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,252.48 : 947,066.19 = 380,322.50 : x
  2. Step 2: Convert to fraction form
    686,252.48/947,066.19 = 380,322.50/x
  3. Step 3: Cross multiply
    686,252.48x = 947,066.19 × 380,322.50
  4. Step 4: Simplify right side
    686,252.48x = 360,190,581,046.28
  5. Step 5: Solve for x
    x = 360,190,581,046.28/686,252.48
  6. Step 6: Final answer
    x = 524,865.98

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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.