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Finding the Fourth Proportional to 416,089.96, 624,094.98 and 116,597.32

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Solution

The fourth proportional to 416,089.96, 624,094.98 and 116,597.32 is: 174,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,089.96 : 624,094.98 = 116,597.32 : x
  2. Step 2: Convert to fraction form
    416,089.96/624,094.98 = 116,597.32/x
  3. Step 3: Cross multiply
    416,089.96x = 624,094.98 × 116,597.32
  4. Step 4: Simplify right side
    416,089.96x = 72,767,802,093.45
  5. Step 5: Solve for x
    x = 72,767,802,093.45/416,089.96
  6. Step 6: Final answer
    x = 174,884.78

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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.