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Finding the Fourth Proportional to 314,910.17, 434,532.21 and 185,854.03

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Solution

The fourth proportional to 314,910.17, 434,532.21 and 185,854.03 is: 256,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,910.17 : 434,532.21 = 185,854.03 : x
  2. Step 2: Convert to fraction form
    314,910.17/434,532.21 = 185,854.03/x
  3. Step 3: Cross multiply
    314,910.17x = 434,532.21 × 185,854.03
  4. Step 4: Simplify right side
    314,910.17x = 80,759,562,393.31
  5. Step 5: Solve for x
    x = 80,759,562,393.31/314,910.17
  6. Step 6: Final answer
    x = 256,452.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.