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Finding the Fourth Proportional to 456,367.68, 684,619.20 and 156,925.44

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Solution

The fourth proportional to 456,367.68, 684,619.20 and 156,925.44 is: 235,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,367.68 : 684,619.20 = 156,925.44 : x
  2. Step 2: Convert to fraction form
    456,367.68/684,619.20 = 156,925.44/x
  3. Step 3: Cross multiply
    456,367.68x = 684,619.20 × 156,925.44
  4. Step 4: Simplify right side
    456,367.68x = 107,434,169,192.45
  5. Step 5: Solve for x
    x = 107,434,169,192.45/456,367.68
  6. Step 6: Final answer
    x = 235,411.43

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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.