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Finding the Fourth Proportional to 686,324.89, 947,185.02 and 380,497.19

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Solution

The fourth proportional to 686,324.89, 947,185.02 and 380,497.19 is: 525,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,324.89 : 947,185.02 = 380,497.19 : x
  2. Step 2: Convert to fraction form
    686,324.89/947,185.02 = 380,497.19/x
  3. Step 3: Cross multiply
    686,324.89x = 947,185.02 × 380,497.19
  4. Step 4: Simplify right side
    686,324.89x = 360,401,233,784.17
  5. Step 5: Solve for x
    x = 360,401,233,784.17/686,324.89
  6. Step 6: Final answer
    x = 525,117.54

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Double scale
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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.