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Finding the Fourth Proportional to 456,206.56, 684,326.40 and 156,685.39

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Solution

The fourth proportional to 456,206.56, 684,326.40 and 156,685.39 is: 235,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,206.56 : 684,326.40 = 156,685.39 : x
  2. Step 2: Convert to fraction form
    456,206.56/684,326.40 = 156,685.39/x
  3. Step 3: Cross multiply
    456,206.56x = 684,326.40 × 156,685.39
  4. Step 4: Simplify right side
    456,206.56x = 107,223,948,871.30
  5. Step 5: Solve for x
    x = 107,223,948,871.30/456,206.56
  6. Step 6: Final answer
    x = 235,033.77

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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.