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Finding the Fourth Proportional to 492,457.90, 738,526.92 and 188,836.09

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Solution

The fourth proportional to 492,457.90, 738,526.92 and 188,836.09 is: 283,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,457.90 : 738,526.92 = 188,836.09 : x
  2. Step 2: Convert to fraction form
    492,457.90/738,526.92 = 188,836.09/x
  3. Step 3: Cross multiply
    492,457.90x = 738,526.92 × 188,836.09
  4. Step 4: Simplify right side
    492,457.90x = 139,460,534,235.22
  5. Step 5: Solve for x
    x = 139,460,534,235.22/492,457.90
  6. Step 6: Final answer
    x = 283,192.81

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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.