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Finding the Fourth Proportional to 611,270.20, 916,905.30 and 256,166.20

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Solution

The fourth proportional to 611,270.20, 916,905.30 and 256,166.20 is: 384,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,270.20 : 916,905.30 = 256,166.20 : x
  2. Step 2: Convert to fraction form
    611,270.20/916,905.30 = 256,166.20/x
  3. Step 3: Cross multiply
    611,270.20x = 916,905.30 × 256,166.20
  4. Step 4: Simplify right side
    611,270.20x = 234,880,146,460.86
  5. Step 5: Solve for x
    x = 234,880,146,460.86/611,270.20
  6. Step 6: Final answer
    x = 384,249.30

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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.