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Finding the Fourth Proportional to 314,171.04, 433,390.72 and 186,756

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Solution

The fourth proportional to 314,171.04, 433,390.72 and 186,756 is: 257,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,171.04 : 433,390.72 = 186,756 : x
  2. Step 2: Convert to fraction form
    314,171.04/433,390.72 = 186,756/x
  3. Step 3: Cross multiply
    314,171.04x = 433,390.72 × 186,756
  4. Step 4: Simplify right side
    314,171.04x = 80,938,317,304.32
  5. Step 5: Solve for x
    x = 80,938,317,304.32/314,171.04
  6. Step 6: Final answer
    x = 257,625.01

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Why These Related Problems?

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