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Finding the Fourth Proportional to 456,553.44, 684,653.76 and 156,977.28

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Solution

The fourth proportional to 456,553.44, 684,653.76 and 156,977.28 is: 235,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,553.44 : 684,653.76 = 156,977.28 : x
  2. Step 2: Convert to fraction form
    456,553.44/684,653.76 = 156,977.28/x
  3. Step 3: Cross multiply
    456,553.44x = 684,653.76 × 156,977.28
  4. Step 4: Simplify right side
    456,553.44x = 107,475,084,986.57
  5. Step 5: Solve for x
    x = 107,475,084,986.57/456,553.44
  6. Step 6: Final answer
    x = 235,405.27

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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.