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Finding the Fourth Proportional to 437,656.80, 656,689.32 and 171,348.24

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Solution

The fourth proportional to 437,656.80, 656,689.32 and 171,348.24 is: 257,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,656.80 : 656,689.32 = 171,348.24 : x
  2. Step 2: Convert to fraction form
    437,656.80/656,689.32 = 171,348.24/x
  3. Step 3: Cross multiply
    437,656.80x = 656,689.32 × 171,348.24
  4. Step 4: Simplify right side
    437,656.80x = 112,522,559,208.80
  5. Step 5: Solve for x
    x = 112,522,559,208.80/437,656.80
  6. Step 6: Final answer
    x = 257,102.28

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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.