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Finding the Fourth Proportional to 456,076.40, 684,114.60 and 123,652.40

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Solution

The fourth proportional to 456,076.40, 684,114.60 and 123,652.40 is: 185,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,076.40 : 684,114.60 = 123,652.40 : x
  2. Step 2: Convert to fraction form
    456,076.40/684,114.60 = 123,652.40/x
  3. Step 3: Cross multiply
    456,076.40x = 684,114.60 × 123,652.40
  4. Step 4: Simplify right side
    456,076.40x = 84,592,412,165.04
  5. Step 5: Solve for x
    x = 84,592,412,165.04/456,076.40
  6. Step 6: Final answer
    x = 185,478.60

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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.