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Finding the Fourth Proportional to 254,824, 382,316.64 and 114,594.88

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Solution

The fourth proportional to 254,824, 382,316.64 and 114,594.88 is: 171,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,824 : 382,316.64 = 114,594.88 : x
  2. Step 2: Convert to fraction form
    254,824/382,316.64 = 114,594.88/x
  3. Step 3: Cross multiply
    254,824x = 382,316.64 × 114,594.88
  4. Step 4: Simplify right side
    254,824x = 43,811,529,482.80
  5. Step 5: Solve for x
    x = 43,811,529,482.80/254,824
  6. Step 6: Final answer
    x = 171,928.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.