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Finding the Fourth Proportional to 364,076.40, 546,114.60 and 204,644.10

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Solution

The fourth proportional to 364,076.40, 546,114.60 and 204,644.10 is: 306,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,076.40 : 546,114.60 = 204,644.10 : x
  2. Step 2: Convert to fraction form
    364,076.40/546,114.60 = 204,644.10/x
  3. Step 3: Cross multiply
    364,076.40x = 546,114.60 × 204,644.10
  4. Step 4: Simplify right side
    364,076.40x = 111,759,130,813.86
  5. Step 5: Solve for x
    x = 111,759,130,813.86/364,076.40
  6. Step 6: Final answer
    x = 306,966.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.