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Finding the Fourth Proportional to 230,971.80, 346,457.70 and 207,352.20

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Solution

The fourth proportional to 230,971.80, 346,457.70 and 207,352.20 is: 311,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,971.80 : 346,457.70 = 207,352.20 : x
  2. Step 2: Convert to fraction form
    230,971.80/346,457.70 = 207,352.20/x
  3. Step 3: Cross multiply
    230,971.80x = 346,457.70 × 207,352.20
  4. Step 4: Simplify right side
    230,971.80x = 71,838,766,301.94
  5. Step 5: Solve for x
    x = 71,838,766,301.94/230,971.80
  6. Step 6: Final answer
    x = 311,028.30

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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.