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Finding the Fourth Proportional to 456,164.40, 684,246.60 and 189,836.40

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Solution

The fourth proportional to 456,164.40, 684,246.60 and 189,836.40 is: 284,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,164.40 : 684,246.60 = 189,836.40 : x
  2. Step 2: Convert to fraction form
    456,164.40/684,246.60 = 189,836.40/x
  3. Step 3: Cross multiply
    456,164.40x = 684,246.60 × 189,836.40
  4. Step 4: Simplify right side
    456,164.40x = 129,894,911,256.24
  5. Step 5: Solve for x
    x = 129,894,911,256.24/456,164.40
  6. Step 6: Final answer
    x = 284,754.60

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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.