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Finding the Fourth Proportional to 312,946.80, 469,420.20 and 188,530.80

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Solution

The fourth proportional to 312,946.80, 469,420.20 and 188,530.80 is: 282,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,946.80 : 469,420.20 = 188,530.80 : x
  2. Step 2: Convert to fraction form
    312,946.80/469,420.20 = 188,530.80/x
  3. Step 3: Cross multiply
    312,946.80x = 469,420.20 × 188,530.80
  4. Step 4: Simplify right side
    312,946.80x = 88,500,165,842.16
  5. Step 5: Solve for x
    x = 88,500,165,842.16/312,946.80
  6. Step 6: Final answer
    x = 282,796.20

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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.