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Finding the Fourth Proportional to 175,322.40, 262,918.80 and 56,997.60

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Solution

The fourth proportional to 175,322.40, 262,918.80 and 56,997.60 is: 85,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,322.40 : 262,918.80 = 56,997.60 : x
  2. Step 2: Convert to fraction form
    175,322.40/262,918.80 = 56,997.60/x
  3. Step 3: Cross multiply
    175,322.40x = 262,918.80 × 56,997.60
  4. Step 4: Simplify right side
    175,322.40x = 14,985,740,594.88
  5. Step 5: Solve for x
    x = 14,985,740,594.88/175,322.40
  6. Step 6: Final answer
    x = 85,475.33

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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.