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Finding the Fourth Proportional to 686,807.76, 947,768.31 and 380,896.68

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Solution

The fourth proportional to 686,807.76, 947,768.31 and 380,896.68 is: 525,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,807.76 : 947,768.31 = 380,896.68 : x
  2. Step 2: Convert to fraction form
    686,807.76/947,768.31 = 380,896.68/x
  3. Step 3: Cross multiply
    686,807.76x = 947,768.31 × 380,896.68
  4. Step 4: Simplify right side
    686,807.76x = 361,001,802,688.21
  5. Step 5: Solve for x
    x = 361,001,802,688.21/686,807.76
  6. Step 6: Final answer
    x = 525,622.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.