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Finding the Fourth Proportional to 304,313.40, 456,470.10 and 114,744.60

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Solution

The fourth proportional to 304,313.40, 456,470.10 and 114,744.60 is: 172,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,313.40 : 456,470.10 = 114,744.60 : x
  2. Step 2: Convert to fraction form
    304,313.40/456,470.10 = 114,744.60/x
  3. Step 3: Cross multiply
    304,313.40x = 456,470.10 × 114,744.60
  4. Step 4: Simplify right side
    304,313.40x = 52,377,479,036.46
  5. Step 5: Solve for x
    x = 52,377,479,036.46/304,313.40
  6. Step 6: Final answer
    x = 172,116.90

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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.