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Finding the Fourth Proportional to 314,187.80, 471,281.70 and 188,216.60

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Solution

The fourth proportional to 314,187.80, 471,281.70 and 188,216.60 is: 282,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,187.80 : 471,281.70 = 188,216.60 : x
  2. Step 2: Convert to fraction form
    314,187.80/471,281.70 = 188,216.60/x
  3. Step 3: Cross multiply
    314,187.80x = 471,281.70 × 188,216.60
  4. Step 4: Simplify right side
    314,187.80x = 88,703,039,216.22
  5. Step 5: Solve for x
    x = 88,703,039,216.22/314,187.80
  6. Step 6: Final answer
    x = 282,324.90

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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.