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Finding the Fourth Proportional to 546,970, 754,856.46 and 305,299.60

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Solution

The fourth proportional to 546,970, 754,856.46 and 305,299.60 is: 421,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,970 : 754,856.46 = 305,299.60 : x
  2. Step 2: Convert to fraction form
    546,970/754,856.46 = 305,299.60/x
  3. Step 3: Cross multiply
    546,970x = 754,856.46 × 305,299.60
  4. Step 4: Simplify right side
    546,970x = 230,457,375,295.42
  5. Step 5: Solve for x
    x = 230,457,375,295.42/546,970
  6. Step 6: Final answer
    x = 421,334.58

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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.