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Finding the Fourth Proportional to 230,898.30, 322,470.30 and 230,898.30

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Solution

The fourth proportional to 230,898.30, 322,470.30 and 230,898.30 is: 322,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,898.30 : 322,470.30 = 230,898.30 : x
  2. Step 2: Convert to fraction form
    230,898.30/322,470.30 = 230,898.30/x
  3. Step 3: Cross multiply
    230,898.30x = 322,470.30 × 230,898.30
  4. Step 4: Simplify right side
    230,898.30x = 74,457,844,070.49
  5. Step 5: Solve for x
    x = 74,457,844,070.49/230,898.30
  6. Step 6: Final answer
    x = 322,470.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.