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Finding the Fourth Proportional to 686,188.33, 947,005.83 and 380,330.91

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Solution

The fourth proportional to 686,188.33, 947,005.83 and 380,330.91 is: 524,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,188.33 : 947,005.83 = 380,330.91 : x
  2. Step 2: Convert to fraction form
    686,188.33/947,005.83 = 380,330.91/x
  3. Step 3: Cross multiply
    686,188.33x = 947,005.83 × 380,330.91
  4. Step 4: Simplify right side
    686,188.33x = 360,175,589,099.21
  5. Step 5: Solve for x
    x = 360,175,589,099.21/686,188.33
  6. Step 6: Final answer
    x = 524,893.20

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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.