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Finding the Fourth Proportional to 211,441.60, 316,701.60 and 174,577.60

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Solution

The fourth proportional to 211,441.60, 316,701.60 and 174,577.60 is: 261,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,441.60 : 316,701.60 = 174,577.60 : x
  2. Step 2: Convert to fraction form
    211,441.60/316,701.60 = 174,577.60/x
  3. Step 3: Cross multiply
    211,441.60x = 316,701.60 × 174,577.60
  4. Step 4: Simplify right side
    211,441.60x = 55,289,005,244.16
  5. Step 5: Solve for x
    x = 55,289,005,244.16/211,441.60
  6. Step 6: Final answer
    x = 261,485.94

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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.