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Finding the Fourth Proportional to 456,505.08, 684,996.44 and 186,833.40

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Solution

The fourth proportional to 456,505.08, 684,996.44 and 186,833.40 is: 280,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,505.08 : 684,996.44 = 186,833.40 : x
  2. Step 2: Convert to fraction form
    456,505.08/684,996.44 = 186,833.40/x
  3. Step 3: Cross multiply
    456,505.08x = 684,996.44 × 186,833.40
  4. Step 4: Simplify right side
    456,505.08x = 127,980,213,873.10
  5. Step 5: Solve for x
    x = 127,980,213,873.10/456,505.08
  6. Step 6: Final answer
    x = 280,347.84

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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.