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Finding the Fourth Proportional to 456,672.32, 684,838.56 and 157,068.80

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Solution

The fourth proportional to 456,672.32, 684,838.56 and 157,068.80 is: 235,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,672.32 : 684,838.56 = 157,068.80 : x
  2. Step 2: Convert to fraction form
    456,672.32/684,838.56 = 157,068.80/x
  3. Step 3: Cross multiply
    456,672.32x = 684,838.56 × 157,068.80
  4. Step 4: Simplify right side
    456,672.32x = 107,566,770,812.93
  5. Step 5: Solve for x
    x = 107,566,770,812.93/456,672.32
  6. Step 6: Final answer
    x = 235,544.76

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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.